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Popular >

simplify sqrt(1260)

Solution

simplify

1260

Solution

635

+1

Decimal

35.49647 \dots

Solution steps

1260

Prime factorization of

1260 : 2^{2} \cdot 3^{2} \cdot 5 \cdot 7

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

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

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

Apply radical rule:

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

2^{2} = 2

= 2 3^{2} 5 \cdot 7

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 3 5 \cdot 7

Multiply the numbers:

2 \cdot 3 = 6

= 6 5 \cdot 7

Multiply the numbers:

5 \cdot 7 = 35

= 635

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Frequently Asked Questions (FAQ)

What is sqrt(1260) ?
The solution to sqrt(1260) is 6sqrt(35)