Respuesta :

apologiabiology
so if you mean: [tex]\frac{ \sqrt{15} }{5} [/tex] times [tex] \sqrt{20} [/tex] then
simplify
rememeber
[tex] x^{ \frac{m}{n} }= \sqrt[n]{ x^{m} } [/tex]
and
[tex] [x^{n}]^{m}= x^{nm}[/tex]
and
[tex] \sqrt{x} \sqrt{y}= \sqrt{xy} [/tex]

multiply

[tex]\frac{ \sqrt{15} }{5} [/tex] times [tex]\frac{ \sqrt{20} }{1} [/tex]=[tex] \frac{ \sqrt{300}}{5} [/tex]

simplify √300
√300=√3 times √100
we know that √100=10 so
√300=√3 times 10
therefor
[tex] \frac{ \sqrt{300} }{5} [/tex] = [tex] \frac{10\sqrt{3}}{5} [/tex]= [tex] \frac{5}{5} [/tex] times  [tex] \frac{2\sqrt{3}}{1} [/tex] = 1 times [tex] \frac{2\sqrt{3}}{1} [/tex]=2√3










SchwarzschildRadius
So,

[tex] \frac{ \sqrt{15}}{5} * \sqrt{20} [/tex]

Simplify the square root of 20.
[tex] \sqrt{20} = \sqrt{4} * \sqrt{5} = 2 * \sqrt{5} = 2 \sqrt{5} [/tex]

[tex] \frac{ \sqrt{15}}{5} * \frac{ 2\sqrt{5} }{1} [/tex]

Multiply.
[tex] \frac{ 2\sqrt{75}}{5}[/tex]

Simplify.
[tex] \frac{ 2\sqrt{25}* \sqrt{3} }{5}[/tex]
[tex] \frac{ 2 * 5* \sqrt{3} }{5}[/tex]
[tex] \frac{10\sqrt{3} }{5}[/tex]
[tex] \frac{2\sqrt{3} }{1}[/tex]
[tex] 2\sqrt{3}[/tex]

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