What is expand (sqrt(2q)+sqrt(r))^{2/3} ?

The solution to expand (sqrt(2q)+sqrt(r))^{2/3} is (2^{1/2}q^{1/2}+sqrt(r))^{2/3}

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expand (sqrt(2q)+sqrt(r))^{2/3}

expand

(2 q + r)^{\frac{2}{3}}

(2^{\frac{1}{2}} q^{\frac{1}{2}} + r)^{\frac{2}{3}}

Solution steps

(2 q + r)^{\frac{2}{3}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= (2^{\frac{1}{2}} q^{\frac{1}{2}} + r)^{\frac{2}{3}}

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What is expand (sqrt(2q)+sqrt(r))^{2/3} ?
The solution to expand (sqrt(2q)+sqrt(r))^{2/3} is (2^{1/2}q^{1/2}+sqrt(r))^{2/3}