# Homework Help: Simplify the expression

1. Jan 26, 2009

### kadavis2010

1. The problem statement, all variables and given/known data
√8/3

2. Relevant equations

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

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

2. Jan 26, 2009

### AssyriaQ

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

3. Jan 26, 2009

### symbolipoint

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.

4. Jan 27, 2009

### 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?

5. Jan 27, 2009

### NoMoreExams

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

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