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Popular >

simplify 4sqrt(288)

Solution

simplify

4288

Solution

482

+1

Decimal Notation

67.88225 \dots

Solution steps

4288

Prime factorization of

288 : 2^{5} \cdot 3^{2}

= 4 2^{5} \cdot 3^{2}

Apply exponent rule:

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

2^{5} \cdot 3^{2} = 2^{4} \cdot 2 \cdot 3^{2}

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

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

= 4 2^{4} 2 3^{2}

2^{4} = 4

= 4 \cdot 42 3^{2}

Apply radical rule:

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

3^{2} = 3

= 4 \cdot 42 \cdot 3

Multiply the numbers:

4 \cdot 3 = 12

= 4 \cdot 122

Multiply the numbers:

4 \cdot 12 = 48

= 482

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Frequently Asked Questions (FAQ)

What is 4sqrt(288) ?
The solution to 4sqrt(288) is 48sqrt(2)