en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5sqrt(432)

Solution

simplify

5432

Solution

603

+1

Solution steps

5432

Prime factorization of

432 : 2^{4} \cdot 3^{3}

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

Apply exponent rule:

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

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

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

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

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

2^{4} = 4

= 5 \cdot 4 3^{2} 3

Apply radical rule:

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

3^{2} = 3

= 5 \cdot 4 \cdot 33

Multiply the numbers:

4 \cdot 3 = 12

= 5 \cdot 123

Multiply the numbers:

5 \cdot 12 = 60

= 603

Popular Examples

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

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

simplify (+32)+(-98)simplify

(+ 32) + (- 98)

simplify 2\times (-0.5)simplify

2 \times (- 0.5)

3/4 \div 7/8 \div 15/16

\frac{3}{4} \div \frac{7}{8} \div \frac{15}{16}

expand s(s+1)^2(s+2)expand

s (s + 1)^{2} (s + 2)

Frequently Asked Questions (FAQ)

What is 5sqrt(432) ?
The solution to 5sqrt(432) is 60sqrt(3)