en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(3^2-1^2)

Solution

simplify

3^{2} - 1^{2}

Solution

22

+1

Decimal Notation

2.82842 \dots

Solution steps

3^{2} - 1^{2}

3^{2} - 1^{2} = 8

= 8

Prime factorization of

8 : 2^{3}

= 2^{3}

Apply exponent rule:

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

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

= 2^{2} \cdot 2

Apply radical rule:

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

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

= 2^{2} 2

Apply radical rule:

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

2^{2} = 2

= 22

Popular Examples

simplify 2k^4x^4k simplify

2 k^{4} x^{4} k

factor 5x^3+55x^2+150x factor

5 x^{3} + 55 x^{2} + 150 x

simplify (1+4i)/(4-i)simplify

\frac{1 + 4 i}{4 - i}

simplify sqrt(1+1/x)simplify

1 + \frac{1}{x}

simplify 1/9 \times 3 simplify

\frac{1}{9} \times 3

Frequently Asked Questions (FAQ)

What is sqrt(3^2-1^2) ?
The solution to sqrt(3^2-1^2) is 2sqrt(2)