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Popular >

simplify sqrt(584)

Solution

simplify

584

Solution

2146

+1

Decimal Notation

24.16609 \dots

Solution steps

584

Prime factorization of

584 : 2^{3} \cdot 73

= 2^{3} \cdot 73

Apply exponent rule:

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

2^{3} \cdot 73 = 2^{2} \cdot 2 \cdot 73

= 2^{2} \cdot 2 \cdot 73

Apply radical rule:

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

2^{2} \cdot 2 \cdot 73 = 2^{2} 2 \cdot 73

= 2^{2} 2 \cdot 73

Apply radical rule:

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

2^{2} = 2

= 2 2 \cdot 73

Multiply the numbers:

2 \cdot 73 = 146

= 2146

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Frequently Asked Questions (FAQ)

What is sqrt(584) ?
The solution to sqrt(584) is 2sqrt(146)