en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4sqrt(96)

Solution

simplify

496

Solution

166

+1

Decimal Notation

39.19183 \dots

Solution steps

496

Prime factorization of

96 : 2^{5} \cdot 3

= 4 2^{5} \cdot 3

Apply exponent rule:

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

2^{5} \cdot 3 = 2^{4} \cdot 2 \cdot 3

= 4 2^{4} \cdot 2 \cdot 3

Apply radical rule:

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

2^{4} \cdot 2 \cdot 3 = 2^{4} 2 \cdot 3

= 4 2^{4} 2 \cdot 3

2^{4} = 4

= 4 \cdot 4 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 4 \cdot 46

Multiply the numbers:

4 \cdot 4 = 16

= 166

Popular Examples

simplify (8+6i)^2 simplify

(8 + 6 i)^{2}

simplify (-9+5i)-(-3+7i)simplify

(- 9 + 5 i) - (- 3 + 7 i)

simplify (tan(θ)cot(θ))/(sec(θ))simplify

\frac{tan ( θ ) cot ( θ )}{sec ( θ )}

simplify (5^{-2})/(5^2)simplify

\frac{5 ^{- 2}}{5 ^{2}}

simplify (3)+(12)simplify

(3) + (12)

Frequently Asked Questions (FAQ)

What is 4sqrt(96) ?
The solution to 4sqrt(96) is 16sqrt(6)