background knowledge by the end of this lesson you will be able to explain/calculate the following:...
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![Page 1: Background Knowledge By the end of this lesson you will be able to explain/calculate the following: 1.Surds 2.Radicals](https://reader036.vdocument.in/reader036/viewer/2022062409/5697c02e1a28abf838cda11e/html5/thumbnails/1.jpg)
Surds And RadicalsBackground Knowledge
By the end of this lesson you will be able to explain/calculate the following:1. Surds2. Radicals
![Page 2: Background Knowledge By the end of this lesson you will be able to explain/calculate the following: 1.Surds 2.Radicals](https://reader036.vdocument.in/reader036/viewer/2022062409/5697c02e1a28abf838cda11e/html5/thumbnails/2.jpg)
Surds and RadicalsA radical is any number which is
written with the radical sign A surd is a real, irrational radical
such as
Surds are present in solutions to some quadratic equations.
is a radical but is not a surd as it simplifies to 2.
6 and 5,3,2
4
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a
Surds and Radicals - Properties is the non-negative number such
that
is never negative, so is meaningful only for for for
0aa
aaa a
baab
b
a
b
a 0 and 0 ba
0 and 0 ba0a
![Page 4: Background Knowledge By the end of this lesson you will be able to explain/calculate the following: 1.Surds 2.Radicals](https://reader036.vdocument.in/reader036/viewer/2022062409/5697c02e1a28abf838cda11e/html5/thumbnails/4.jpg)
Worked Example 1
3
6
18
6
18
6
3232
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Exercise A
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Worked Example 2
38
3)53(3533
23
2)52(2522
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Exercise A
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Worked Example 3
23
2929
Factorise 18 with the highest possible square factor
![Page 9: Background Knowledge By the end of this lesson you will be able to explain/calculate the following: 1.Surds 2.Radicals](https://reader036.vdocument.in/reader036/viewer/2022062409/5697c02e1a28abf838cda11e/html5/thumbnails/9.jpg)
Exercise A
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Worked Example 4
35
315310
335352
3953252275752
![Page 11: Background Knowledge By the end of this lesson you will be able to explain/calculate the following: 1.Surds 2.Radicals](https://reader036.vdocument.in/reader036/viewer/2022062409/5697c02e1a28abf838cda11e/html5/thumbnails/11.jpg)
Exercise A
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Worked Example 5
33
3
39
3
3
3
9
3
9
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Exercise A