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Popular >

simplify sqrt(3888)

Solution

simplify

3888

Solution

363

+1

Decimal Notation

62.35382 \dots

Solution steps

3888

Prime factorization of

3888 : 2^{4} \cdot 3^{5}

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

Apply exponent rule:

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

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

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

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

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

2^{4} = 4

= 4 3^{4} 3

3^{4} = 9

= 4 \cdot 93

Multiply the numbers:

4 \cdot 9 = 36

= 363

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Frequently Asked Questions (FAQ)

What is sqrt(3888) ?
The solution to sqrt(3888) is 36sqrt(3)