## anonymous 4 years ago Rationalize the denominator of radical 18 over radical 3?

1. anonymous

.. √18 / √3 = [ √18 * √3 ] / [ √3 * √3 ] = [ √(18 * 3) ] / 3 = [ √(6 * 3 * 3) ] / 3 = [ 3 √6 ] / 3 = √6

2. anonymous

can you rationalize 3 over radical 2?

3. anonymous

radical 3 two's cancel ( as long as the last two is not under the radical)

4. anonymous

$\Large \frac32 \sqrt2$ this is correct.

5. anonymous

$\frac{\sqrt{18}}{\sqrt{3}}=\sqrt{\frac{18}{3}}=\sqrt{6}$no need for rationalizng denominator

6. anonymous

$\frac{3}{\sqrt{2}}=\frac{3}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}=\frac{3\sqrt{2}}{2}$this one does require rationalizing denominator

7. anonymous

3 \cdot2 = $3 \cdot 2$ on latex ;) @satellite73