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Popular >

simplify sqrt(184)

Solution

simplify

184

Solution

246

+1

Solution steps

184

Prime factorization of

184 : 2^{3} \cdot 23

= 2^{3} \cdot 23

Apply exponent rule:

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

2^{3} \cdot 23 = 2^{2} \cdot 2 \cdot 23

= 2^{2} \cdot 2 \cdot 23

Apply radical rule:

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

2^{2} \cdot 2 \cdot 23 = 2^{2} 2 \cdot 23

= 2^{2} 2 \cdot 23

Apply radical rule:

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

2^{2} = 2

= 2 2 \cdot 23

Multiply the numbers:

2 \cdot 23 = 46

= 246

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Frequently Asked Questions (FAQ)

What is sqrt(184) ?
The solution to sqrt(184) is 2sqrt(46)