Question

find the square root of the following fraction by long division method

1. 25÷36​

Answer 1

Answer:

1

How do I calculate square root of 0.45 by using the long division method?

What should I do to be a top student?

Ah, interesting question! Firstly, there’s no such thing as ‘top’ students or ‘bottom’ students. There are only students who grasp

Muriel Lange

Answered May 29, 2017

First you make an educated guess at the answer. Find the closest perfect squares to 45. 36 < 45 < 49.

So 6 < SQRT 45 < 7

So the square root of .45 should be between .6 and .7. If .45 were exactly halfway between .36 and .49, I would guess .65. Since 45 is a little closer to 49 than it is to 36, I will guess that the square root of .45 is .66.

Now I divide .45 by .66. and I get .682

I know that guess was a little too small. So I average the two numbers.

(.66 + .682)/2 = .671

I don’t know how accurate you have to be. Let’s suppose you want to be accurate to 3 decimal places.

Now divide .45 by .671 . The result .6706 which rounds off to .671. So the best estimate to 3 decimal places is .671.

If you don’t want to do endless divisions, be sure your first guess is a good one. If you need more accuracy, you will have to divide farther to get more decimal places.

Do like these I hope you got it