Evaluate √x^2 - y^2 when x^2 = 33 and y^2 = 15

3√2

Step-by-step explanation:

In this question, we are asked to get the value of √ (x²-y²), while the value of x² and y² are given to be 33 and 15 respectively.

Hence, x² = 33 and y² = 15.

Putting the values of x² and y² in the above expression we get,

√ (x²-y²) = √ (33-15) = √18 = 3√2. (Answer)