en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 10sqrt(32)

Solution

simplify

1032

Solution

402

+1

Decimal Notation

56.56854 \dots

Solution steps

1032

Prime factorization of

32 : 2^{5}

= 10 2^{5}

Apply exponent rule:

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

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

= 10 2^{4} \cdot 2

Apply radical rule:

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

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

= 10 2^{4} 2

2^{4} = 4

= 10 \cdot 42

Multiply the numbers:

10 \cdot 4 = 40

= 402

Popular Examples

simplify sqrt(3)+sqrt(27)-sqrt(48)simplify

3 + 27 - 48

simplify 2/3+(-1/3)simplify

\frac{2}{3} + (- \frac{1}{3})

simplify sqrt(11^2+6^2)simplify

1 1^{2} + 6^{2}

factor 6x^4+2x^3-3x^2-x factor

6 x^{4} + 2 x^{3} - 3 x^{2} - x

simplify (5^{-4})^{-5}simplify

(5^{- 4})^{- 5}

Frequently Asked Questions (FAQ)

What is 10sqrt(32) ?
The solution to 10sqrt(32) is 40sqrt(2)