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Popular >

simplify sqrt(378)

Solution

simplify

378

Solution

342

+1

Solution steps

378

Prime factorization of

378 : 2 \cdot 3^{3} \cdot 7

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

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

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

Apply radical rule:

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

3^{2} = 3

= 3 2 \cdot 3 \cdot 7

Multiply the numbers:

2 \cdot 3 \cdot 7 = 42

= 342

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Frequently Asked Questions (FAQ)

What is sqrt(378) ?
The solution to sqrt(378) is 3sqrt(42)