staceyyyy1 3 years ago Find The Value Of: The Square Root Of 24 Over 4 Times The Square Root Of 5.

1. satellite73

$\frac{\sqrt{24}}{4}\times \sqrt{5}$

2. myko

$\sqrt{24}/4\sqrt{5}=\sqrt{6*4}/4\sqrt{5}=2\sqrt{6}/4\sqrt{5}=\sqrt{6}/\sqrt{5}=\sqrt{30}/5$

3. satellite73

or $\frac{\sqrt{24}}{4\sqrt{5}}$?

4. myko

ups, 2 missing in the denominator $\sqrt{30}/10$

5. Kainui

$\sqrt{24}/(4\sqrt{5})$ So first off, what can we take out of the square root? It looks like $\sqrt{24}=\sqrt{2*2*2*3}=2\sqrt{6}$ Since 2*2 is just 4, we can take the square root and bring a 2 out front, but the 2 and 3 stay behind since they're not squares. Using some exponent rules, since everything is multiplied together.$2\sqrt{6}/4\sqrt{5}=(1/2)\sqrt{6/5}$