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Popular >

simplify sqrt(5040)

Solution

simplify

5040

Solution

1235

+1

Decimal Notation

70.99295 \dots

Solution steps

5040

Prime factorization of

5040 : 2^{4} \cdot 3^{2} \cdot 5 \cdot 7

= 2^{4} \cdot 3^{2} \cdot 5 \cdot 7

2^{4} \cdot 3^{2} \cdot 5 \cdot 7 = 2^{4} 3^{2} 5 \cdot 7

= 2^{4} 3^{2} 5 \cdot 7

2^{4} = 4

= 4 3^{2} 5 \cdot 7

Apply radical rule:

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

3^{2} = 3

= 4 \cdot 3 5 \cdot 7

Multiply the numbers:

4 \cdot 3 = 12

= 12 5 \cdot 7

Multiply the numbers:

5 \cdot 7 = 35

= 1235

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Frequently Asked Questions (FAQ)

What is sqrt(5040) ?
The solution to sqrt(5040) is 12sqrt(35)