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Popular >

simplify 5sqrt(54)

Solution

simplify

554

Solution

156

+1

Decimal Notation

36.74234 \dots

Solution steps

554

Prime factorization of

54 : 2 \cdot 3^{3}

= 5 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

= 5 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

= 5 3^{2} 2 \cdot 3

Apply radical rule:

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

3^{2} = 3

= 5 \cdot 3 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 5 \cdot 36

Multiply the numbers:

5 \cdot 3 = 15

= 156

Popular Examples

simplify 4/5-3/4 simplify

\frac{4}{5} - \frac{3}{4}

\frac{4 x - 2}{3} = 2

18 + m = 8

4 x + 8 = 28

simplify (4+sqrt(6))(2-sqrt(6))simplify

(4 + 6) (2 - 6)

Frequently Asked Questions (FAQ)

What is 5sqrt(54) ?
The solution to 5sqrt(54) is 15sqrt(6)