Question

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

Answer 1

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

Answer 2

16i√2

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