What is 3sqrt(-343) ?

The solution to 3sqrt(-343) is 21sqrt(7)i

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simplify 3sqrt(-343)

simplify

3 - 343

217 i

Solution steps

3 - 343

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 7 - 7

Multiply the numbers:

3 \cdot 7 = 21

= 21 - 7

Apply radical rule:

- a = a - 1

- 7 = 7 - 1

= 217 - 1

Apply imaginary number rule:

- 1 = i

= 217 i

\frac{5}{2 x} + \frac{3}{2 x}

- x^{2} + x + 30

64 \times 6

\frac{7}{9} - 1

\frac{8 x ^{4} y ^{8}}{x y ^{8}}