Question

PLEASE HELP!!!
Which expressions simplify to a rational answer? Select each correct answer.

Answer 1

The first three expressions will simplify to a rational answer.

Step-by-step explanation

Let us simplify the expressions then we can see which of them are rational.

A.

`7√(3) * √(3)`

We multiply out the roots to get

`7√(3) * √(3)=7 * (√(3))^2`

This simplifies to

`7√(3) * √(3)=7 * 3`

`7√(3) * √(3)=21`

This is a rational number hence the answer is rational.

B.

`√(5) * √(5)=(√(5))^2`

`√(5) * √(5)=5`

This is also a rational solution.

C.

`2√(9) * √(4)=2*3*2`

`2√(9) * √(4)=12`

This one too is a rational solution.

D.

`√(3) * √(16)=√(3)*4`

`√(3) * √(16)=4√(3)`

This is an irrational answer because √3 is an irrational number and multiplying a rational number, 4 by an irrational number results in an irrational number.