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Popular >

simplify sqrt(168)

Solution

simplify

168

Solution

242

+1

Solution steps

168

Prime factorization of

168 : 2^{3} \cdot 3 \cdot 7

= 2^{3} \cdot 3 \cdot 7

Apply exponent rule:

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

2^{3} \cdot 3 \cdot 7 = 2^{2} \cdot 2 \cdot 3 \cdot 7

= 2^{2} \cdot 2 \cdot 3 \cdot 7

Apply radical rule:

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

2^{2} \cdot 2 \cdot 3 \cdot 7 = 2^{2} 2 \cdot 3 \cdot 7

= 2^{2} 2 \cdot 3 \cdot 7

Apply radical rule:

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

2^{2} = 2

= 2 2 \cdot 3 \cdot 7

Multiply the numbers:

2 \cdot 3 \cdot 7 = 42

= 242

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simplify 1/2 2 simplify

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Frequently Asked Questions (FAQ)

What is sqrt(168) ?
The solution to sqrt(168) is 2sqrt(42)