Question

Determine whether the expression is in simplest form. 3√10/4 The expression is in its simplest form. If the expression is not in simplest form, explain why.

Answer 1

The expression 3√10/4 is in its simplest form.

Explanation:

Any expression having √ radical sign in the denominator must be solved.

In the expression 3√10/4 the denominator is 4 which is a positive even number and the numerator is 3√10.

3√10 cannot be further solved as square root of 10 gives an answer in decimals.

If we square the whole expression and try to solve it then we would get

( 3√10/4)²

= 9*10/16

= 90/16 which again gives the answer in decimals.