en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(216)

Solution

simplify

216

Solution

66

+1

Decimal Notation

14.69693 \dots

Solution steps

216

Prime factorization of

216 : 2^{3} \cdot 3^{3}

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

2^{2} = 2

= 2 3^{2} 2 \cdot 3

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 3 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 66

Popular Examples

|p-0.53|<= 0.03

∣ p - 0.53 ∣ \leq 0.03

∣ a + 9 ∣ + 2 \leq 6

factor 16a^2+72ad+81d^2 factor

16 a^{2} + 72 a d + 81 d^{2}

0 = x^{2} - 4 x - 4

simplify (5/2)^{-2}*25/8 simplify

(\frac{5}{2})^{- 2} \cdot \frac{25}{8}

Frequently Asked Questions (FAQ)

What is sqrt(216) ?
The solution to sqrt(216) is 6sqrt(6)