en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(\sqrt{729)}

Solution

simplify

729

Solution

33

+1

Decimal Notation

5.19615 \dots

Solution steps

729

729 = 27

= 27

Prime factorization of

27 : 3^{3}

= 3^{3}

Apply exponent rule:

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

3^{3} = 3^{2} \cdot 3

= 3^{2} \cdot 3

Apply radical rule:

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

3^{2} \cdot 3 = 3^{2} 3

= 3^{2} 3

Apply radical rule:

a^{2} = a, a \geq 0

3^{2} = 3

= 33

Popular Examples

expand sqrt(4/9)sqrt(25/16)expand

\frac{4}{9} \frac{25}{16}

simplify \sqrt[ 1/3 ]{\sqrt[6]{16}}simplify

simplify (nlog_{2}(n))(nsqrt(n))simplify

(n lo g_{2} (n)) (n n)

simplify (sqrt(2+3))(sqrt(2-3))simplify

(2 + 3) (2 - 3)

simplify 14600e^{-0.158(2)}simplify

14600 e^{- 0.158 (2)}

Frequently Asked Questions (FAQ)

What is sqrt(\sqrt{729)} ?
The solution to sqrt(\sqrt{729)} is 3sqrt(3)