The square root of 0 . overline{4} is | vedclass

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Question

(A) Given the repeating decimal $0 . \overline{4}$.We can express this as a fraction: $0 . \overline{4} = \frac{4}{9}$.Now,we need to find the square

Vedclass · Accepted Answer

$0 . \overline{6}$

Vedclass · Answer

(A) Given the repeating decimal $0 . \overline{4}$.We can express this as a fraction: $0 . \overline{4} = \frac{4}{9}$.Now,we need to find the square root of this value: $\sqrt{0 . \overline{4}} = \sqrt{\frac{4}{9}}$.Calculating the square root: $\sqrt{\frac{4}{9}} = \frac{\sqrt{4}}{\sqrt{9}} = \frac{2}{3}$.Converting the fraction $\frac{2}{3}$ back to a decimal: $\frac{2}{3} = 0.666 \dots = 0 . \overline{6}$.Therefore,the correct option is $A$.

The square root of $0 . \overline{4}$ is

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