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Popular >

simplify sqrt(9600)

Solution

simplify

9600

Solution

406

+1

Decimal

97.97958 \dots

Solution steps

9600

Prime factorization of

9600 : 2^{7} \cdot 3 \cdot 5^{2}

= 2^{7} \cdot 3 \cdot 5^{2}

Apply exponent rule:

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

2^{7} \cdot 3 \cdot 5^{2} = 2^{6} \cdot 2 \cdot 3 \cdot 5^{2}

= 2^{6} \cdot 2 \cdot 3 \cdot 5^{2}

2^{6} \cdot 2 \cdot 3 \cdot 5^{2} = 2^{6} 2 \cdot 3 5^{2}

= 2^{6} 2 \cdot 3 5^{2}

2^{6} = 8

= 8 2 \cdot 3 5^{2}

Apply radical rule:

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

5^{2} = 5

= 8 2 \cdot 3 \cdot 5

Multiply the numbers:

8 \cdot 5 = 40

= 40 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 406

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Frequently Asked Questions (FAQ)

What is sqrt(9600) ?
The solution to sqrt(9600) is 40sqrt(6)