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Q2 of 227 Page 98

Find the square root of the following:

4x2 + 9y2 + 25z2–12xy + 30yz–20zx

The above expression can be rewritten as


(2x)2 + (–3y)2 + (–5z)2 + 2((–3y)×(2x) + (–5z)×(–3y) + (2x)×(–5z))


The above expression is in the form of


(a–b–c)2 = a2 + b2 + c2 + 2(–ab + bc – ca)


So the expression becomes (2x–3y–5z)2


Square Root = √(2x–3y–5z)2


|2x–3y–5z|


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2

Find the square root of the following:

16x2 –24x + 9

2

Find the square root of the following:

(x2 – 25)( x2 + 8x + 15)( x2 –2x–15)

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Find the square root of the following:

(6x2 + 5x –6) (6x2–x–2)(4x2 + 8x + 3)

Questions · 227
3. Algebra
1 2 3 4 5 6 7 8 9 10 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 2 2 3 3 3 3 1 2 3 4 5 6 7 8 9 10 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 2 3 4 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 2 3 4 5 6 7 8 9 10 1 1 1 1 1 1 2 2 2 2 3 4 5 6 7 1 1 1 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
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