CTET Paper II (Mathematics and Science) 11 Jan 2023 Solved Paper

Concept:The square root of a decimal can be found by converting the decimal into a fraction with a perfect square denominator. Then take the square root of both numerator and denominator separately.Explanation:First, write the given number as a fraction: $0.000081 = \frac{81}{1000000}$.The denominator $1000000$ is $10^6$, which is a perfect square because $1000000 = (1000)^2$.Now compute the square root: $\sqrt{0.000081} = \sqrt{\frac{81}{1000000}} = \frac{\sqrt{81}}{\sqrt{1000000}} = \frac{9}{1000}$.Convert the fraction $\frac{9}{1000}$ to decimal: $9 \div 1000 = 0.009$.Thus, $\sqrt{0.000081} = 0.009$, which matches option C.Answer:0.009, option C.