en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(h^{2+r^2)}

Solution

simplify

h^{2 + r^{2}}

Solution

h^{\frac{r ^{2} + 2}{2}}

Solution steps

h^{2 + r^{2}}

Apply radical rule:

a = a^{\frac{1}{2}}

= (h^{2 + r^{2}})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= h^{(2 + r^{2}) \frac{1}{2}}

Simplify

(2 + r^{2}) \frac{1}{2} : \frac{2 + r ^{2}}{2}

= h^{\frac{2 + r ^{2}}{2}}

= h^{\frac{r ^{2} + 2}{2}}

Popular Examples

simplify (e^2)^{1/2}simplify

(e^{2})^{\frac{1}{2}}

simplify (5x^3y^2)(2x^5y)simplify

(5 x^{3} y^{2}) (2 x^{5} y)

simplify 2.8*8.8^{-12}simplify

2.8 \cdot 8. 8^{- 12}

simplify 7.871e^{-4}simplify

7.871 e^{- 4}

simplify 4(4a^3)simplify

4 (4 a^{3})

Frequently Asked Questions (FAQ)

What is sqrt(h^{2+r^2)} ?
The solution to sqrt(h^{2+r^2)} is h^{(r^2+2)/2}