Question

An expression is shown

(4\sqrt(15))/(\sqrt(20))
which of the following is an equivalent expression?

Answer 1

The equivalent expression is 2√3

We have from the information given that the expression is represented as;

4√15/√20

To simply the expression and determine its equivalent, we have to know that surds are expressions that can no longer be factored and are represented in square root forms.

Now, to rationalize the surds, we have to multiply both the numerators and denominators with the surd form of the denominator.

We get;

4√ 15 × √20/√20 × √20

Multiply the values, we get;

4√300/20

4 × √100 × √3/ 20

40√3/20

Divide the values

2√3