What is sqrt(9-x^2)*sqrt(64-x^2) ?

The solution to sqrt(9-x^2)*sqrt(64-x^2) is sqrt((-x^2+9)(-x^2+64))

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simplify sqrt(9-x^2)*sqrt(64-x^2)

simplify

9 - x^{2} \cdot 64 - x^{2}

(- x^{2} + 9) (- x^{2} + 64)

Solution steps

9 - x^{2} 64 - x^{2}

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

- x^{2} + 9 - x^{2} + 64 = (- x^{2} + 9) (- x^{2} + 64)

= (- x^{2} + 9) (- x^{2} + 64)

3 3^{3}

(7 x^{\frac{1}{3}}) (2 x^{\frac{1}{4}})

\frac{n ^{8}}{( n + 1 ) ^{8}}

What is sqrt(9-x^2)*sqrt(64-x^2) ?
The solution to sqrt(9-x^2)*sqrt(64-x^2) is sqrt((-x^2+9)(-x^2+64))