en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3sqrt(54)

Solution

simplify

354

Solution

96

+1

Decimal Notation

22.04540 \dots

Solution steps

354

Prime factorization of

54 : 2 \cdot 3^{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

= 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 3^{2} 2 \cdot 3

Apply radical rule:

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

3^{2} = 3

= 3 \cdot 3 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 3 \cdot 36

Multiply the numbers:

3 \cdot 3 = 9

= 96

Popular Examples

5^{2} + x^{2} = 6^{2}

∣ n + 3 ∣ \leq 10

- 2 z - 1 < - 6

factor (3uv-12uv)/(3u)factor

\frac{3 uv - 12 uv}{3 u}

simplify 4.88+(9.76-(12.5)/(103)(4.88))0.5 simplify

4.88 + (9.76 - \frac{12.5}{103} (4.88)) 0.5

Frequently Asked Questions (FAQ)

What is 3sqrt(54) ?
The solution to 3sqrt(54) is 9sqrt(6)