Question

What is the value of (51 square root of -72) - (19 -2 square root of -50)?

Answer 1

The expression (51 square root of -72) - (19 -2 square root of -50) simplifies to -19 + 316i√2, as the square roots of negative numbers result in imaginary numbers.

Step-by-step explanation:

The given expression is (51√(-72)) - (19 - 2√(-50))

First, let’s simplify the square roots:

√(-72) = 6i√2

√(-50) = 5i√2

Now, substitute these values back into the original expression:

(51 6i√2) - (19 - 2 5i√2)

= 306i√2 - (19 - 10i√2)

= 306i√2 - 19 + 10i√2

Now, combine like terms:

= -19 + 316i√2

So, the value of the given expression is -19 + 316i√2.