en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(2016)

Solution

simplify

2016

Solution

1214

+1

Decimal Notation

44.89988 \dots

Solution steps

2016

Prime factorization of

2016 : 2^{5} \cdot 3^{2} \cdot 7

= 2^{5} \cdot 3^{2} \cdot 7

Apply exponent rule:

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

2^{5} \cdot 3^{2} \cdot 7 = 2^{4} \cdot 2 \cdot 3^{2} \cdot 7

= 2^{4} \cdot 2 \cdot 3^{2} \cdot 7

2^{4} \cdot 2 \cdot 3^{2} \cdot 7 = 2^{4} 3^{2} 2 \cdot 7

= 2^{4} 3^{2} 2 \cdot 7

2^{4} = 4

= 4 3^{2} 2 \cdot 7

Apply radical rule:

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

3^{2} = 3

= 4 \cdot 3 2 \cdot 7

Multiply the numbers:

4 \cdot 3 = 12

= 12 2 \cdot 7

Multiply the numbers:

2 \cdot 7 = 14

= 1214

Popular Examples

simplify 27^{-2}simplify

2 7^{- 2}

simplify ((x^2)/y)^4 simplify

(\frac{x ^{2}}{y})^{4}

\frac{38}{10}

simplify 1 1/3*6/7 simplify

1 \frac{1}{3} \cdot \frac{6}{7}

simplify (3x^2y)^2 simplify

(3 x^{2} y)^{2}

Frequently Asked Questions (FAQ)

What is sqrt(2016) ?
The solution to sqrt(2016) is 12sqrt(14)