Simplify 2 times the square root of negative 50 plus the square root of negative 72.

16i√2

Step-by-step explanation:

Given to simplify

2√-50 + √-72

You know √-1 = i

2√ (-50) = 2*√2*25

2*√2*√25 = 2*√2*5

2*5*i*√2

2√ (-50) = 10i√2

√ (-72) = √2*36

=√2*√36

=√2*6i

√-72=6i√2

Addition

10i√2 + 6i√2 = (10i+6i) √2 = 16i√2

16i (√2)

Step-by-step explanation: i=√-1

√ (-50) = √-1 * √ (2*25) = i*√2*√25 = 5i*√2

2 (5i√2) = 10i * (√2)

√ (-70) = √-1*√ (2*36) = i * √2*√36 = 6i*√2

10i * (√2) + 6i * (√2) = 16i + √2