How to find square root of 0 75 by long division method - Maths - Heron\s Formula

Question

How to find square root of 0 75 by long division method?

Ajanta Trivedi · Accepted Answer

let us find the square root by long division method:

$\underset{̲}{0.8} \underset{̲}{6} \underset{̲}{6} 8 | 0. \bar{75} \bar{00} \bar{00} \underset{̲}{8 | 64} 166 | 1100 \underset{̲}{6} | \underset{̲}{996} 1726 | 10400 \underset{̲}{10356} 44$

first we will make the pair from left to right.

first pair is 75. let us choose the largest number whose square is less than 75

$8^{2} = 64 a n d 9^{2} = 81$

thus let us write 64. subtract it from 75, we get 11.

now write the next pair.

and continue.

square root of 0.75 is 0.866.

hope this helps you.

cheers!!

How to find square root of 0.75 by long division method?