What is simplify-8sqrt(392) ?

The solution to simplify-8sqrt(392) is -112sqrt(2)

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simplify-8sqrt(392)

simplify

- 8392

- 1122

Decimal Notation

- 158.39191 \dots

Solution steps

- 8392

Prime factorization of

392 : 2^{3} \cdot 7^{2}

= - 8 2^{3} \cdot 7^{2}

Apply exponent rule:

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

2^{3} \cdot 7^{2} = 2^{2} \cdot 2 \cdot 7^{2}

= - 8 2^{2} \cdot 2 \cdot 7^{2}

2^{2} \cdot 2 \cdot 7^{2} = 2^{2} 2 7^{2}

= - 8 2^{2} 2 7^{2}

Apply radical rule:

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

2^{2} = 2

= - 8 \cdot 22 7^{2}

Apply radical rule:

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

7^{2} = 7

= - 8 \cdot 22 \cdot 7

Multiply the numbers:

2 \cdot 7 = 14

= - 8 \cdot 142

Multiply the numbers:

- 8 \cdot 14 = - 112

= - 1122

(3 x^{2} + 7 x) + (2 x^{2} - x - 1)

f^{6} - 400

6 a^{2} b^{2} + 5 ab - 25

(- 1 + 2 i) (- 1 - 2 i)

(u - 1)^{4}

What is simplify-8sqrt(392) ?
The solution to simplify-8sqrt(392) is -112sqrt(2)