Question

Simplify.
3√-50
Enter your answer down below.

Answer 1

15i √2

Explanation:

i² = -1

If (-1) is appearing inside root then the number is complex number and(-1) is denoted by i²

Prime factorize 50 and then find the square root of 50.

`\sf 3√(-50)= 3√(i^2*50)\\\\`

`\sf = 3*√(i^2 * 5 * 5 *2)\\\\ = 3*5*i*√(2)\\\\=15i√(2)`