What is simplify-3sqrt(72) ?

The solution to simplify-3sqrt(72) is -18sqrt(2)

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simplify-3sqrt(72)

simplify

- 372

- 182

Decimal Notation

- 25.45584 \dots

Solution steps

- 372

Prime factorization of

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

= - 3 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}

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

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

= - 3 2^{2} 2 3^{2}

Apply radical rule:

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

2^{2} = 2

= - 3 \cdot 22 3^{2}

Apply radical rule:

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

3^{2} = 3

= - 3 \cdot 22 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= - 3 \cdot 62

Multiply the numbers:

- 3 \cdot 6 = - 18

= - 182

(2 + i) (1 - i)

(y^{3} \cdot 2^{5})^{2}

1296 u^{4} - 1

5 (x + 3)

\frac{7}{8} \cdot 5