jared99
4

sqrt(15)/5 *sqrt(20)

so if you mean: $\frac{ \sqrt{15} }{5}$ times $\sqrt{20}$ then simplify rememeber $x^{ \frac{m}{n} }= \sqrt[n]{ x^{m} }$ and $[x^{n}]^{m}= x^{nm}$ and $\sqrt{x} \sqrt{y}= \sqrt{xy}$ multiply $\frac{ \sqrt{15} }{5}$ times $\frac{ \sqrt{20} }{1}$=$\frac{ \sqrt{300}}{5}$ simplify √300 √300=√3 times √100 we know that √100=10 so √300=√3 times 10 therefor $\frac{ \sqrt{300} }{5}$ = ﻿$\frac{10\sqrt{3}}{5}$﻿= $\frac{5}{5}$ times  $\frac{2\sqrt{3}}{1}$ = 1 times $\frac{2\sqrt{3}}{1}$=2√3
So, $\frac{ \sqrt{15}}{5} * \sqrt{20}$ Simplify the square root of 20. $\sqrt{20} = \sqrt{4} * \sqrt{5} = 2 * \sqrt{5} = 2 \sqrt{5}$ $\frac{ \sqrt{15}}{5} * \frac{ 2\sqrt{5} }{1}$ Multiply. $\frac{ 2\sqrt{75}}{5}$ Simplify. $\frac{ 2\sqrt{25}* \sqrt{3} }{5}$ $\frac{ 2 * 5* \sqrt{3} }{5}$ $\frac{10\sqrt{3} }{5}$ $\frac{2\sqrt{3} }{1}$ $2\sqrt{3}$