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Popular >

simplify sqrt(15300)

Solution

simplify

15300

Solution

3017

+1

Decimal Notation

123.69316 \dots

Solution steps

15300

Prime factorization of

15300 : 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17

= 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17

2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17 = 2^{2} 3^{2} 5^{2} 17

= 2^{2} 3^{2} 5^{2} 17

Apply radical rule:

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

2^{2} = 2

= 2 3^{2} 5^{2} 17

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 3 5^{2} 17

Apply radical rule:

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

5^{2} = 5

= 2 \cdot 3 \cdot 517

Multiply the numbers:

2 \cdot 3 \cdot 5 = 30

= 3017

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Frequently Asked Questions (FAQ)

What is sqrt(15300) ?
The solution to sqrt(15300) is 30sqrt(17)