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Popular >

simplify 4sqrt(384)

Solution

simplify

4384

Solution

326

+1

Decimal Notation

78.38367 \dots

Solution steps

4384

Prime factorization of

384 : 2^{7} \cdot 3

= 4 2^{7} \cdot 3

Apply exponent rule:

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

2^{7} \cdot 3 = 2^{6} \cdot 2 \cdot 3

= 4 2^{6} \cdot 2 \cdot 3

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

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

= 4 2^{6} 2 \cdot 3

2^{6} = 8

= 4 \cdot 8 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 4 \cdot 86

Multiply the numbers:

4 \cdot 8 = 32

= 326

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Frequently Asked Questions (FAQ)

What is 4sqrt(384) ?
The solution to 4sqrt(384) is 32sqrt(6)