What is sqrt(a^2+b^2)*sqrt(c^2+d^2) ?

The solution to sqrt(a^2+b^2)*sqrt(c^2+d^2) is sqrt((a^2+b^2)(c^2+d^2))

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simplify sqrt(a^2+b^2)*sqrt(c^2+d^2)

simplify

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

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

Solution steps

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

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

a^{2} + b^{2} c^{2} + d^{2} = (a^{2} + b^{2}) (c^{2} + d^{2})

= (a^{2} + b^{2}) (c^{2} + d^{2})

(4.2 \cdot 1 0^{6}) (3.1 \cdot 1 0^{11})

(\frac{3 c ^{3}}{e ^{5}})^{- 4}

(e^{- x}) e^{x}

\frac{1}{2} (8.85 \cdot 1 0^{- 12}) (4500)^{2} \cdot 1 0^{6}

e^{- 3094}

What is sqrt(a^2+b^2)*sqrt(c^2+d^2) ?
The solution to sqrt(a^2+b^2)*sqrt(c^2+d^2) is sqrt((a^2+b^2)(c^2+d^2))