What is (sqrt(a)(8+sqrt(a)))/(64-a) ?

The solution to (sqrt(a)(8+sqrt(a)))/(64-a) is (8sqrt(a)+a)/(64-a)

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simplify (sqrt(a)(8+sqrt(a)))/(64-a)

simplify

\frac{a ( 8 + a )}{64 - a}

\frac{8 a + a}{64 - a}

Solution steps

\frac{a ( 8 + a )}{64 - a}

Apply the distributive law:

a (b + c) = ab + a c

a (8 + a) = a \cdot 8 + a a

= \frac{a \cdot 8 + a a}{64 - a}

Simplify

a \cdot 8 + a a : 8 a + a

= \frac{8 a + a}{64 - a}

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What is (sqrt(a)(8+sqrt(a)))/(64-a) ?
The solution to (sqrt(a)(8+sqrt(a)))/(64-a) is (8sqrt(a)+a)/(64-a)