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Popular >

simplify sqrt(6500)

Solution

simplify

6500

Solution

1065

+1

Solution steps

6500

Prime factorization of

6500 : 2^{2} \cdot 5^{3} \cdot 13

= 2^{2} \cdot 5^{3} \cdot 13

Apply exponent rule:

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

2^{2} \cdot 5^{3} \cdot 13 = 2^{2} \cdot 5^{2} \cdot 5 \cdot 13

= 2^{2} \cdot 5^{2} \cdot 5 \cdot 13

2^{2} \cdot 5^{2} \cdot 5 \cdot 13 = 2^{2} 5^{2} 5 \cdot 13

= 2^{2} 5^{2} 5 \cdot 13

Apply radical rule:

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

2^{2} = 2

= 2 5^{2} 5 \cdot 13

Apply radical rule:

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

5^{2} = 5

= 2 \cdot 5 5 \cdot 13

Multiply the numbers:

2 \cdot 5 = 10

= 10 5 \cdot 13

Multiply the numbers:

5 \cdot 13 = 65

= 1065

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Frequently Asked Questions (FAQ)

What is sqrt(6500) ?
The solution to sqrt(6500) is 10sqrt(65)