Maths

>

GCSE

>

Positive and Negative Integers

>

How do you...

Question
# How do you estimate a square root?

3 years ago

·

1 Reply

·

1679 views

H

Hazel Howe

1 Answer

Devan-Kumar M
Verified Sherpa Tutor ✓

Young experienced tutor w a unique understanding of exam specification

3 reviews

You can estimate a square root by seeing what square numbers you can recognise in the region above or below it. E.G. You may wish to estimate the square root of 26 and wonder it must be more than 5 as 26>25=5^2 and less than 6 as 26<36=6^2. Note therefore 5^2< 26 < 6^2. Then you may note how much closer 26 is to 25 than 36. In fact it is roughly a 10th of the way between 25 and 36. Thus you may estimate the square root is a 10th of the way between 5 and 6, e.g. 5.1.

Note 5.1^2 = 26.01 so this is an extremely accurate approximation.

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.Think you can help?

More Maths GCSE Questions
##
Need
a GCSE
Maths
tutor?

Get started with a free online introductions with an experienced and qualified online tutor on Sherpa.

Find a GCSE Maths Tutor