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Popular >

simplify sqrt(2464)

Solution

simplify

2464

Solution

4154

+1

Solution steps

2464

Prime factorization of

2464 : 2^{5} \cdot 7 \cdot 11

= 2^{5} \cdot 7 \cdot 11

Apply exponent rule:

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

2^{5} \cdot 7 \cdot 11 = 2^{4} \cdot 2 \cdot 7 \cdot 11

= 2^{4} \cdot 2 \cdot 7 \cdot 11

Apply radical rule:

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

2^{4} \cdot 2 \cdot 7 \cdot 11 = 2^{4} 2 \cdot 7 \cdot 11

= 2^{4} 2 \cdot 7 \cdot 11

2^{4} = 4

= 4 2 \cdot 7 \cdot 11

Multiply the numbers:

2 \cdot 7 \cdot 11 = 154

= 4154

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Frequently Asked Questions (FAQ)

What is sqrt(2464) ?
The solution to sqrt(2464) is 4sqrt(154)