How to Simplify Radicals in the Denominator?

[kadavis2010]

Homework Statement

√8/3

Homework Equations

none but there can't be any radicals in the denominator

The Attempt at a Solution

=√8/√3=2√2/√3... what do i do now.. I can't have a radical in the denominator

 

[AssyriaQ]

Hint: Multiply both the numerator and the denominator by √3.

 

[symbolipoint]

Homework Statement

√8/3

Homework Equations

none but there can't be any radicals in the denominator

The Attempt at a Solution

=√8/√3=2√2/√3... what do i do now.. I can't have a radical in the denominator

Why must you not have a radical in the denominator? As you wrote the original expression, you indicated $$\frac{\sqrt{8}}{3}$$

Did you really mean to write $$\sqrt{\frac{8}{3}}$$ ? You can simplify this by multiplying by $$\frac{\sqrt{3}}{\sqrt{3}}$$, which is just a factor of 1.

 

[kadavis2010]

Yeah i meant what you said second... so would i have 24/9... with the square root of course.. but then would it be square root of 24 over 3?

 

[NoMoreExams]

Yes but you can rewrite $$\sqrt{24} = a \sqrt{b}$$ What are a and b?