What is 3 over the square root of 5?

Answer 1

You can get a decimal approximation with a calculator, with Excel, etc. But if you want to keep it as a square root, the "standard form" is considered to be one that has no square roots in the denominator. In this case, to get rid of the square root in the denominator, you multiply both numerator and denominator by the square root of 5, with the following result:

3 / root(5)

= 3 root(5) / root(5) x root(5)

= 3 root(5) / 5

That is, three times the square root of 5, divided by 5.