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Popular >

simplify sqrt(12800)

Solution

simplify

12800

Solution

802

+1

Decimal Notation

113.13708 \dots

Solution steps

12800

Prime factorization of

12800 : 2^{9} \cdot 5^{2}

= 2^{9} \cdot 5^{2}

Apply exponent rule:

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

2^{9} \cdot 5^{2} = 2^{8} \cdot 2 \cdot 5^{2}

= 2^{8} \cdot 2 \cdot 5^{2}

2^{8} \cdot 2 \cdot 5^{2} = 2^{8} 2 5^{2}

= 2^{8} 2 5^{2}

2^{8} = 16

= 162 5^{2}

Apply radical rule:

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

5^{2} = 5

= 162 \cdot 5

Multiply the numbers:

16 \cdot 5 = 80

= 802

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Frequently Asked Questions (FAQ)

What is sqrt(12800) ?
The solution to sqrt(12800) is 80sqrt(2)