How do you find the square root of a fraction? For example: what’s the square root of 115/100

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given:

115/100

Determine how to find the square root of a function.

Solution:

In order to find the square root of a function without directly simplifying it, we can write it in the form.

= √(115/100)

or

= √115/√100

Notice that 115 is not a perfect square number, therefore, we can only simplify the denominator since 100 is a perfect square number.

=√115/10

If we simplify the numerator, even though it is not a perfect square then we can do so the same way.

= 10.72/10

Final answer:

= 10.72/10