Question

What is the square root of $ \dfrac{1}{3} $ ?

Answer 1

Hint: We have to find the value of square root for the given number . The given number is a fraction first we will try to figure out the value of square root of the denominator of the given number instead of numerator because the square root of the numerator is very straight forward i.e. the square root of $ 1 $ is the same there is no change on finding square root of $ 1 $ . For the square root of the denominator we will try to put the value of the square root from the standard values that we know and always should remember. That is the square root of $ 3 $ is $ 1.732 $ . The final answer of the question will be found out by doing the reciprocal of this number.

Complete step by step solution:
The given question is $ \dfrac{1}{3} $ since we have to find its square root we will first find the square root of the denominator we know from the standard values of square root of $ 3 $ that square root is $ 1.732 $ . The square root is then finally calculated by dividing the square root of the numerator by the square root of the denominator.
 $ \dfrac{1}{{1.732}} $
Which upon further solving will give us the value as $ 0.5773 $ .
So, the correct answer is “0.5773”.

Note: When finding out the square root of a fraction first find the square root of numerator , then find out the square root of the denominator of the given fraction and then we divide both the values of square root of numerator and denominator and achieve our final answer.