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Popular >

simplify sqrt(440)

Solution

simplify

440

Solution

2110

+1

Solution steps

440

Prime factorization of

440 : 2^{3} \cdot 5 \cdot 11

= 2^{3} \cdot 5 \cdot 11

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

2^{3} \cdot 5 \cdot 11 = 2^{2} \cdot 2 \cdot 5 \cdot 11

= 2^{2} \cdot 2 \cdot 5 \cdot 11

Apply radical rule:

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

2^{2} \cdot 2 \cdot 5 \cdot 11 = 2^{2} 2 \cdot 5 \cdot 11

= 2^{2} 2 \cdot 5 \cdot 11

Apply radical rule:

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

2^{2} = 2

= 2 2 \cdot 5 \cdot 11

Multiply the numbers:

2 \cdot 5 \cdot 11 = 110

= 2110

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Frequently Asked Questions (FAQ)

What is sqrt(440) ?
The solution to sqrt(440) is 2sqrt(110)