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Popular >

simplify sqrt(1040)

Solution

simplify

1040

Solution

465

+1

Decimal

32.24903 \dots

Solution steps

1040

Prime factorization of

1040 : 2^{4} \cdot 5 \cdot 13

= 2^{4} \cdot 5 \cdot 13

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

2^{4} \cdot 5 \cdot 13 = 2^{4} 5 \cdot 13

= 2^{4} 5 \cdot 13

2^{4} = 4

= 4 5 \cdot 13

Multiply the numbers:

5 \cdot 13 = 65

= 465

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Frequently Asked Questions (FAQ)

What is sqrt(1040) ?
The solution to sqrt(1040) is 4sqrt(65)