Question

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

Answer 1

Answer:

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

Answer 2

Answer:

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