en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(1568)

Solution

simplify

1568

Solution

282

+1

Decimal Notation

39.59797 \dots

Solution steps

1568

Prime factorization of

1568 : 2^{5} \cdot 7^{2}

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

Apply exponent rule:

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

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

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

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

= 2^{4} 2 7^{2}

2^{4} = 4

= 42 7^{2}

Apply radical rule:

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

7^{2} = 7

= 42 \cdot 7

Multiply the numbers:

4 \cdot 7 = 28

= 282

Popular Examples

simplify-8*(-5)simplify

- 8 \cdot (- 5)

expand (x+3)^{11}expand

(x + 3)^{11}

simplify sqrt(48xy^4c^2)simplify

48 x y^{4} c^{2}

simplify x/4+x/8 simplify

\frac{x}{4} + \frac{x}{8}

simplify x/(sqrt(y))simplify

\frac{x}{y}

Frequently Asked Questions (FAQ)

What is sqrt(1568) ?
The solution to sqrt(1568) is 28sqrt(2)