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Popular >

simplify sqrt(6300)

Solution

simplify

6300

Solution

307

+1

Decimal Notation

79.37253 \dots

Solution steps

6300

Prime factorization of

6300 : 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7

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

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

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

Apply radical rule:

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

2^{2} = 2

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

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 3 5^{2} 7

Apply radical rule:

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

5^{2} = 5

= 2 \cdot 3 \cdot 57

Multiply the numbers:

2 \cdot 3 \cdot 5 = 30

= 307

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Frequently Asked Questions (FAQ)

What is sqrt(6300) ?
The solution to sqrt(6300) is 30sqrt(7)