en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(5\sqrt{5)}

Solution

simplify

55

Solution

+1

Decimal Notation

3.34370 \dots

Solution steps

55

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

55 = 55

= 55

Apply radical rule:

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

5 = 5^{\frac{1}{2}}

Apply radical rule:

= 5^{\frac{1}{2}} \cdot 5^{\frac{1}{4}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

5^{\frac{1}{2}} \cdot 5^{\frac{1}{4}} = 5^{\frac{1}{2} + \frac{1}{4}}

= 5^{\frac{1}{2} + \frac{1}{4}}

\frac{1}{2} + \frac{1}{4} = \frac{3}{4}

= 5^{\frac{3}{4}}

Popular Examples

simplify 5sqrt(6)*2sqrt(3)simplify

56 \cdot 23

simplify (2x^2+7x+10)-(x^2+2x-9)simplify

(2 x^{2} + 7 x + 10) - (x^{2} + 2 x - 9)

simplify (-6x^2-10x+4)-(8x^2-8x)simplify

(- 6 x^{2} - 10 x + 4) - (8 x^{2} - 8 x)

simplify n^2(n+4)^2-9n(n+4)simplify

n^{2} (n + 4)^{2} - 9 n (n + 4)

simplify 9x^2+4x-(-4)x^2-7 simplify

9 x^{2} + 4 x - (- 4) x^{2} - 7

Frequently Asked Questions (FAQ)

What is sqrt(5\sqrt{5)} ?
The solution to sqrt(5\sqrt{5)} is \sqrt[4]{5^3}