Mathematics
jared99
4

sqrt(15)/5 *sqrt(20)

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(2) Answers
Genna57

so if you mean: [latex]\frac{ \sqrt{15} }{5} [/latex] times [latex] \sqrt{20} [/latex] then simplify rememeber [latex] x^{ \frac{m}{n} }= \sqrt[n]{ x^{m} } [/latex] and [latex] [x^{n}]^{m}= x^{nm}[/latex] and [latex] \sqrt{x} \sqrt{y}= \sqrt{xy} [/latex] multiply [latex]\frac{ \sqrt{15} }{5} [/latex] times [latex]\frac{ \sqrt{20} }{1} [/latex]=[latex] \frac{ \sqrt{300}}{5} [/latex] simplify √300 √300=√3 times √100 we know that √100=10 so √300=√3 times 10 therefor [latex] \frac{ \sqrt{300} }{5} [/latex] = [latex] \frac{10\sqrt{3}}{5} [/latex]= [latex] \frac{5}{5} [/latex] times  [latex] \frac{2\sqrt{3}}{1} [/latex] = 1 times [latex] \frac{2\sqrt{3}}{1} [/latex]=2√3

Buenoo

So, [latex] \frac{ \sqrt{15}}{5} * \sqrt{20} [/latex] Simplify the square root of 20. [latex] \sqrt{20} = \sqrt{4} * \sqrt{5} = 2 * \sqrt{5} = 2 \sqrt{5} [/latex] [latex] \frac{ \sqrt{15}}{5} * \frac{ 2\sqrt{5} }{1} [/latex] Multiply. [latex] \frac{ 2\sqrt{75}}{5}[/latex] Simplify. [latex] \frac{ 2\sqrt{25}* \sqrt{3} }{5}[/latex] [latex] \frac{ 2 * 5* \sqrt{3} }{5}[/latex] [latex] \frac{10\sqrt{3} }{5}[/latex] [latex] \frac{2\sqrt{3} }{1}[/latex] [latex] 2\sqrt{3}[/latex]

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