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Popular >

simplify sqrt(672)

Solution

simplify

672

Solution

442

+1

Decimal Notation

25.92296 \dots

Solution steps

672

Prime factorization of

672 : 2^{5} \cdot 3 \cdot 7

= 2^{5} \cdot 3 \cdot 7

Apply exponent rule:

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

2^{5} \cdot 3 \cdot 7 = 2^{4} \cdot 2 \cdot 3 \cdot 7

= 2^{4} \cdot 2 \cdot 3 \cdot 7

Apply radical rule:

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

2^{4} \cdot 2 \cdot 3 \cdot 7 = 2^{4} 2 \cdot 3 \cdot 7

= 2^{4} 2 \cdot 3 \cdot 7

2^{4} = 4

= 4 2 \cdot 3 \cdot 7

Multiply the numbers:

2 \cdot 3 \cdot 7 = 42

= 442

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Frequently Asked Questions (FAQ)

What is sqrt(672) ?
The solution to sqrt(672) is 4sqrt(42)