Test Index

Powers and Roots Practice Test 5

Question : 17 of 31

Marks: +1, -0

(0.1)^2, \sqrt{0.0121}, \sqrt{0.12}

\sqrt{0.00004}

is:

Solution:

Concept:

To find the largest number, convert each expression to its decimal value and compare.

Explanation:

(0.1)^2 = 0.01

\sqrt{0.0121} = \sqrt{\frac{121}{10000}} = \frac{11}{100} = 0.11

\sqrt{0.12} = \sqrt{\frac{12}{100}} = \frac{\sqrt{12}}{10} \approx 0.346

\sqrt{0.00004} = \sqrt{4 \times 10^{-5}} = 2 \times 10^{-2.5} \approx 0.00632

Comparing the values:

0.346 > 0.11 > 0.01 > 0.00632

Therefore, the largest number is

\sqrt{0.12}

Answer:

\sqrt{0.12} \approx 0.346

, which corresponds to option C.

Go to Question:

Prev Question

Next Question