The square root of 0.09+2×0.21+0.49 is

0.09+2×0.21+0.49=(0.3)2+2×0.3×0.7+(0.7)2⇒(0.3+0.7)2=1

The square root of 0.09+2×0.21+0.49 is

0.09+2×0.21+0.49=(0.3)2+2×0.3×0.7+(0.7)2⇒(0.3+0.7)2=1

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The square root of $0.09 + 2 \times 0.21 + 0.49$ is

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$2 \sqrt{0.21}$

$\sqrt{0.19} + \sqrt{0.49}$

$0.58$

answer is C.

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Detailed Solution

$\sqrt{0.09 + 2 \times 0.21 + 0.49}$

$= \sqrt{{(0.3)}^{2} + 2 \times 0.3 \times 0.7 + {(0.7)}^{2}}$

$\Rightarrow \sqrt{{(0.3 + 0.7)}^{2}} = 1$

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The square root of 0.09+2×0.21+0.49 is

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The square root of $0.09 + 2 \times 0.21 + 0.49$ is