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Popular >

simplify 3sqrt(343)

Solution

simplify

3343

Solution

217

+1

Decimal Notation

55.56077 \dots

Solution steps

3343

Prime factorization of

343 : 7^{3}

= 3 7^{3}

Apply exponent rule:

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

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

= 3 7^{2} \cdot 7

Apply radical rule:

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

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

= 3 7^{2} 7

Apply radical rule:

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

7^{2} = 7

= 3 \cdot 77

Multiply the numbers:

3 \cdot 7 = 21

= 217

Popular Examples

simplify sqrt(-7)simplify

- 7

simplify 2/3-1/5 simplify

\frac{2}{3} - \frac{1}{5}

factor x^3-x^2-5x+6 factor

x^{3} - x^{2} - 5 x + 6

5 x^{2} + 200 = 0

x^{3} \geq 11 x^{2}

Frequently Asked Questions (FAQ)

What is 3sqrt(343) ?
The solution to 3sqrt(343) is 21sqrt(7)