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Summation by Sigma Method

Find square r...

Question

Find square root of $a^{2} + 4 a b + 4 b^{2}$

a - 2 b

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a + 2 b

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a - b

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a + b

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Solution

The correct option is B $a + 2 b$
Consider the square root of the given equation $a^{2} + 4 a b + 4 b^{2}$ as shown below:

$\sqrt{a^{2} + 4 a b + 4 b^{2}} = \sqrt{(a)^{2} + (2 \times a \times 2 b) + (2 b)^{2}} = \sqrt{(a)^{2} + (2 b)^{2} + (2 \times a \times 2 b)} = \sqrt{(a + 2 b)^{2}} (∵ {(x + y)}^{2} = x^{2} + y^{2} + 2 x y) = a + 2 b$

hence, the square root of $a^{2} + 4 a b + 4 b^{2}$ is $a + 2 b$ .

Suggest Corrections

Similar questions

If a-2b = 15 and find a²+ 4b² .

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