en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-sqrt(54)

Solution

simplify

- 54

Solution

- 36

+1

Decimal Notation

- 7.34846 \dots

Solution steps

- 54

Prime factorization of

54 : 2 \cdot 3^{3}

= - 2 \cdot 3^{3}

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

= - 3^{2} 2 \cdot 3

Apply radical rule:

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

3^{2} = 3

= - 3 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= - 36

Popular Examples

expand (x^2+y^3)^5 expand

(x^{2} + y^{3})^{5}

- 42 \div 6

simplify (sqrt(x+1)-1)(sqrt(x+1)+1)simplify

(x + 1 - 1) (x + 1 + 1)

simplify-5x^5y^5(-6xy^3)simplify

- 5 x^{5} y^{5} (- 6 x y^{3})

expand (z^2+1)^2 expand

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

Frequently Asked Questions (FAQ)

What is simplify-sqrt(54) ?
The solution to simplify-sqrt(54) is -3sqrt(6)