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Popular >

simplify 3sqrt(216)

Solution

simplify

3216

Solution

186

+1

Decimal Notation

44.09081 \dots

Solution steps

3216

Prime factorization of

216 : 2^{3} \cdot 3^{3}

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

2^{2} = 2

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

Apply radical rule:

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

3^{2} = 3

= 3 \cdot 2 \cdot 3 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 3 \cdot 66

Multiply the numbers:

3 \cdot 6 = 18

= 186

Popular Examples

0.9x+0.9=2.2x-0.4

0.9 x + 0.9 = 2.2 x - 0.4

24 > - 3 r \geq - 9

x^{2} = - 13

simplify 40/360*pi(12)^2 simplify

\frac{40}{360} \cdot π (12)^{2}

∣ x - 2 ∣ \geq 8

Frequently Asked Questions (FAQ)

What is 3sqrt(216) ?
The solution to 3sqrt(216) is 18sqrt(6)