How do you multiply ${(2 \sqrt{5})}^{2}$ $(2sqrt5)^2$ ?

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How do you multiply ${(2 \sqrt{5})}^{2}$ $(2sqrt5)^2$ ?

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Answer 1 · 2015-05-04T21:07:05

You may use the following:
1] ${(x^{a})}^{b} = x^{a \cdot b}$ $(x^a)^b=x^(a*b)$
2] $\sqrt[n]{x^{m}} = x^{\frac{m}{n}}$ $rootn(x^m)=x^(m/n)$
In your case:
${(2 \sqrt{5})}^{2} = 2^{2} \cdot 5^{\frac{1}{2} \cdot 2} = 4 \cdot 5 = 20$ $(2sqrt(5))^2=2^2*5^(1/2*2)=4*5=20$

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How do you multiply ${(2 \sqrt{5})}^{2}$ $(2sqrt5)^2$ ?

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How do you multiply ${(2 \sqrt{5})}^{2}$ $(2sqrt5)^2$ ?