let’s get radical the symbol for square root, √, called a radical sign, denotes the principal or...

Let’s get Radical The symbol for square root, √, called a radical sign, denotes the principal or nonnegative square root. The expression under the radical sign is called the radicand. Therefore: The square root of a negative number is not a real number. No number squared equals a negative product. Example: √-25 has no real number solution. However, , since the negative sign is outside the radical sign.

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Let’s get Radical

The symbol for square root, √, called a radical sign, denotes the principal or nonnegative square root.

The expression under the radical sign is called the radicand.

Therefore: The square root of a negative number is not a real number.

No number squared equals a negative product. Example: √-25 has no real number solution.

However, , since the negative sign is outside the radical sign.

Page 2: Let’s get Radical The symbol for square root, √, called a radical sign, denotes the principal or nonnegative square root. The expression under the radical

Page 3: Let’s get Radical The symbol for square root, √, called a radical sign, denotes the principal or nonnegative square root. The expression under the radical

Quotient Property of Square Roots

Page 4: Let’s get Radical The symbol for square root, √, called a radical sign, denotes the principal or nonnegative square root. The expression under the radical

Page 5: Let’s get Radical The symbol for square root, √, called a radical sign, denotes the principal or nonnegative square root. The expression under the radical

Simplifying Square Roots

We can simplify if 8 contains a Perfect Square

Page 6: Let’s get Radical The symbol for square root, √, called a radical sign, denotes the principal or nonnegative square root. The expression under the radical

Simplifying Square Roots

4 2

2 2

Look to factor perfect squares (4, 9, 16, 25, 36…)

Put perfect squares in first radical and the other factor in 2nd.

Take square root of first radical

Page 7: Let’s get Radical The symbol for square root, √, called a radical sign, denotes the principal or nonnegative square root. The expression under the radical

Simplifying Square Roots

16 3

4 3

Factor any perfect squares (4, 9, 16, 25, x2, y6…)

(& Put perfect squares in first radical and other factor in 2nd)

Take square root of first radical

Page 8: Let’s get Radical The symbol for square root, √, called a radical sign, denotes the principal or nonnegative square root. The expression under the radical

Simplifying Square Roots

27x 2

9x 2 3

3x 3

Factor any perfect squares (4, 9, 16, 25, 36…)

(& Put perfect squares in first radical and other factor in 2nd)

Take square root of first radical

Page 9: Let’s get Radical The symbol for square root, √, called a radical sign, denotes the principal or nonnegative square root. The expression under the radical

Simplifying Radicals

100x 2 2x

Remember:

Factor any perfect squares (4, 9, 16, 25, 36…)

(& Put perfect squares in first radical and other factor in 2nd)

200x 3

Page 10: Let’s get Radical The symbol for square root, √, called a radical sign, denotes the principal or nonnegative square root. The expression under the radical

100x 2 2x

10x 2x

Take square root of first radical

200x 3 Simplifying Radicals

Page 11: Let’s get Radical The symbol for square root, √, called a radical sign, denotes the principal or nonnegative square root. The expression under the radical

Time for a“Mental Math”

Break!

Page 12: Let’s get Radical The symbol for square root, √, called a radical sign, denotes the principal or nonnegative square root. The expression under the radical

Welcome to“Make That Number”

Page 13: Let’s get Radical The symbol for square root, √, called a radical sign, denotes the principal or nonnegative square root. The expression under the radical

Using the numbers

5, 4, 8

in any order and any combination of multiplication, division, subtraction and/or addition, make the following

number:

Page 14: Let’s get Radical The symbol for square root, √, called a radical sign, denotes the principal or nonnegative square root. The expression under the radical

5 × 4 - 8

Page 15: Let’s get Radical The symbol for square root, √, called a radical sign, denotes the principal or nonnegative square root. The expression under the radical

Using the numbers

8, 6, 9 in any order and any combination of multiplication, division, subtraction and/or addition, make the following

number:

Page 16: Let’s get Radical The symbol for square root, √, called a radical sign, denotes the principal or nonnegative square root. The expression under the radical

8 + 6 × 9

Page 17: Let’s get Radical The symbol for square root, √, called a radical sign, denotes the principal or nonnegative square root. The expression under the radical

Now back to our regularly scheduled slideshow!

Page 18: Let’s get Radical The symbol for square root, √, called a radical sign, denotes the principal or nonnegative square root. The expression under the radical

Factor any perfect squares (4, 9, 16, 25, x2, y6…) from NUMERATOR & DENOM.

(& Put perfect squares in first radical and other factor in 2nd)

200x 3

Simplifying Fraction Radicals

100x 2 2x

10x 2x

25 5

200x 3

Page 19: Let’s get Radical The symbol for square root, √, called a radical sign, denotes the principal or nonnegative square root. The expression under the radical

Factor any perfect squares (4, 9, 16, 25, x2, y6…) from NUMERATOR & DENOM.

(& Put perfect squares in first radical and other factor in 2nd)

Take square root of first radical

200x 3

Simplifying Fraction Radicals

100x 2 2x

10x 2x

25 5

200x 3

10x 2x

Page 20: Let’s get Radical The symbol for square root, √, called a radical sign, denotes the principal or nonnegative square root. The expression under the radical

1. Factor any perfect squares (4, 9, 16, 25, x2, y6…) from NUMERATOR & DENOM.

(& Put perfect squares in first radical and other factor in 2nd)

2. Take square root of first radical

3. REDUCE

200x 3

Simplifying Fraction Radicals

100x 2 2x

10x 2x

25 5

200x 3

10x 2x

2x 2x

Page 21: Let’s get Radical The symbol for square root, √, called a radical sign, denotes the principal or nonnegative square root. The expression under the radical

Classwork/Homework

10.

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10.2 Graphing Square Root Functions.notebook · 10.2 Graphing Square Root Functions.notebook 8 April 08, 2016. ... Graphing Square Root Functions When graphing transformations of

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Graphs of Radical Functions - Weeblycdsalgtwo2014.weebly.com/uploads/2/7/1/9/27192853/... · Strategy to Graph Radical Functions To graph a square root function, for example … 1)

14.1 Finding Square Roots - Big Ideas Math · 2 = 4 The square root of 16 is 4. Symbol for squaring is the exponent 2. Symbol for square root is a radical sign, √ —. Work with

Larson Pre-Algebra (Bookmarks) - Dawkins Middle Schoolmrsmithdms.weebly.com/uploads/2/4/2/0/24206076/... · Vocabulary square root, p. 453 perfect square, p. 454 radical expression,

Reform Calculus: Part Ifaculty.atu.edu/mfinan////calreform1.pdf · • Square root functions can not contain a negative underneath the radical. Set the expression under the radical

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SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:

let’s get radical the symbol for square root, √, called a radical sign, denotes the principal or...

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