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Popular >

simplify 6*2sqrt(72)

Solution

simplify

6 \cdot 272

Solution

722

+1

Decimal Notation

101.82337 \dots

Solution steps

6 \cdot 272

Prime factorization of

72 : 2^{3} \cdot 3^{2}

= 6 \cdot 2 2^{3} \cdot 3^{2}

Apply exponent rule:

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

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

= 6 \cdot 2 2^{2} \cdot 2 \cdot 3^{2}

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

= 6 \cdot 2 2^{2} 2 3^{2}

Apply radical rule:

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

2^{2} = 2

= 6 \cdot 2 \cdot 22 3^{2}

Apply radical rule:

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

3^{2} = 3

= 6 \cdot 2 \cdot 22 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 6 \cdot 2 \cdot 62

Multiply the numbers:

6 \cdot 2 \cdot 6 = 72

= 722

Popular Examples

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

factor j^2+18j+17 factor

j^{2} + 18 j + 17

\frac{n}{2} - 1 < 3

\frac{x}{- 4} \leq - 7

∣ 7 - 2 x ∣ = 4

Frequently Asked Questions (FAQ)

What is 6*2sqrt(72) ?
The solution to 6*2sqrt(72) is 72sqrt(2)