What is the square root of 700?

1 Answer
Tony B
May 26, 2018

#10sqrt(7) larr" Exact answer"#

#26.457513... -> 26.46# Approximate answer to 2 decimal places

Explanation:

Before we start note that 7 is a prime number.

You need to look for squared values that you can 'take outside' the root.

Write 700 as #7xx100#

Not that 100 is the same as #4xx25 ->2^2xx5^2# giving:

#sqrt(700) = sqrt(7xx2^2xx5^2)#

#color(white)("dddddddd")2xx5xxsqrt(7)#

#color(white)("dddddddd")10sqrt(7) larr" Exact answer"#

Related questions
See all questions in Square Roots and Irrational Numbers
Impact of this question
12078 views around the world
You can reuse this answer
Creative Commons License