en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(384)

Solution

simplify

384

Solution

86

+1

Decimal Notation

19.59591 \dots

Solution steps

384

Prime factorization of

384 : 2^{7} \cdot 3

= 2^{7} \cdot 3

Apply exponent rule:

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

2^{7} \cdot 3 = 2^{6} \cdot 2 \cdot 3

= 2^{6} \cdot 2 \cdot 3

Apply radical rule:

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

2^{6} \cdot 2 \cdot 3 = 2^{6} 2 \cdot 3

= 2^{6} 2 \cdot 3

2^{6} = 8

= 8 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 86

Popular Examples

0 = x^{2} - 25

11.4 - p \geq - 2.6

2 x - 2 (x - 3) - 2 x = 3

simplify (x^{-1/2})/(x^{1/2)}simplify

\frac{x ^{- \frac{1}{2}}}{x ^{\frac{1}{2}}}

(x^2)/2+5/2 x=2

\frac{x ^{2}}{2} + \frac{5}{2} x = 2

Frequently Asked Questions (FAQ)

What is sqrt(384) ?
The solution to sqrt(384) is 8sqrt(6)