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Popular >

simplify sqrt(686)

Solution

simplify

686

Solution

714

+1

Decimal Notation

26.19160 \dots

Solution steps

686

Prime factorization of

686 : 2 \cdot 7^{3}

= 2 \cdot 7^{3}

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

= 7^{2} 2 \cdot 7

Apply radical rule:

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

7^{2} = 7

= 7 2 \cdot 7

Multiply the numbers:

2 \cdot 7 = 14

= 714

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Frequently Asked Questions (FAQ)

What is sqrt(686) ?
The solution to sqrt(686) is 7sqrt(14)