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))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

a^{2} + b^{2} 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})

6.3 \cdot 1 0^{- 8}

3.2 \cdot 1 0^{- 9}

3.2 \cdot 1 0^{- 1}

e^{3 t} \cdot 2 e^{5 t}

e^{- 3} \cdot \frac{9}{2}

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))