Question

√(-32)²-√-40² + √(-15)² ;​

Answer 1

√(-32)²-√-40² + √(-15)² can be simplified as follows:

√(-32)² = √(1024) = 32

√-40² = √(1600) = 40

√(-15)² = √(225) = 15

Therefore, the expression simplifies to:

32 - 40 + 15 = -8

Answer 2

To simplify the expression √(-32)² - √(-40)² + √(-15)², you need to first evaluate the squares and then take the square roots:

1. √(-32)² = √(32²) = 32, because the square root of a squared number is the number itself.

2. √(-40)² = √(40²) = 40, for the same reason as above.

3. √(-15)² = √(15²) = 15.

Now you have the expression as follows:

32 - 40 + 15

Now, simply perform the addition and subtraction:

32 - 40 + 15 = -8 + 15 = 7

So, √(-32)² - √(-40)² + √(-15)² equals 7.