What is sqrt(x^2+y^2)*sqrt(16-x^2-y^2) ?

The solution to sqrt(x^2+y^2)*sqrt(16-x^2-y^2) is sqrt((x^2+y^2)(16-x^2-y^2))

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simplify sqrt(x^2+y^2)*sqrt(16-x^2-y^2)

simplify

x^{2} + y^{2} \cdot 16 - x^{2} - y^{2}

(x^{2} + y^{2}) (16 - x^{2} - y^{2})

Solution steps

x^{2} + y^{2} 16 - x^{2} - y^{2}

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

x^{2} + y^{2} 16 - x^{2} - y^{2} = (x^{2} + y^{2}) (16 - x^{2} - y^{2})

= (x^{2} + y^{2}) (16 - x^{2} - y^{2})

(3 x^{\frac{1}{3}}) (4 x^{\frac{1}{6}})

e^{- 3.36}

a^{2} + b^{2} c^{2} + d^{2}

6.3 \cdot 1 0^{- 8}

3.2 \cdot 1 0^{- 9}

What is sqrt(x^2+y^2)*sqrt(16-x^2-y^2) ?
The solution to sqrt(x^2+y^2)*sqrt(16-x^2-y^2) is sqrt((x^2+y^2)(16-x^2-y^2))