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Popular >

simplify sqrt(343)

Solution

simplify

343

Solution

77

+1

Decimal Notation

18.52025 \dots

Solution steps

343

Prime factorization of

343 : 7^{3}

= 7^{3}

Apply exponent rule:

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

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

= 7^{2} \cdot 7

Apply radical rule:

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

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

= 7^{2} 7

Apply radical rule:

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

7^{2} = 7

= 77

Popular Examples

4 a^{2} - 3 a = 0

2 x + \frac{x}{4} = x + 5

simplify 4/5+2/7 simplify

\frac{4}{5} + \frac{2}{7}

(x - 1) (x + 8) = 0

simplify (n/3-3/n)^2 simplify

(\frac{n}{3} - \frac{3}{n})^{2}

Frequently Asked Questions (FAQ)

What is sqrt(343) ?
The solution to sqrt(343) is 7sqrt(7)