Question

What is the square root of 25 over 144?

Answer 1

Hint: We need to first assemble the terms one by one because it might create confusion if not done properly. After that we need to find the square root, i.e. the number which when multiplied by itself gives the number whose square root we are trying to find. The term “over” means to divide the quantity we are given by some other quantity given.

Complete step by step solution:
Here, start assembling terms from the right. The term “25 over 144” means we divide the number 25 by 144. If we divide 25 by 144, we will get:
${\displaystyle \frac{25}{144}}=0.1736$, so, 0.1736 is obtained.
Now, the next set of terms is “square root of” the result so obtained.
We have 0.1736 as the result obtained by assembling the previous set of words, so we are required to find the square root of 0.1736. To find the square root of 0.1736 we cannot factorize it and take the terms out which are multiplied by itself.
Now, the square root of 0.1736 is 0.4166.
This answer has to be written in decimal form as the answer after dividing 25 by 144 is a small number that too in decimal.

Note: Do not mix the terms. Creating the expression out of mathematical terms is often confusing because the terms get mixed up. Here, the division is done first, and then the square root is taken.