Question

Which one of the following formulas correctly expresses this statement: A quantity x is equal to the sum of the squares of a and b? A. x = √a + b B. x = √ab C. x = 2a + 2b D. x = a2 + b2

Answer 1

The correct option is D.

Explanation:

We have to find the expresses this statement: A quantity x is equal to the sum of the squares of a and b.

The square of a can be written as a² and the square of b can be written as b².

The sum of squares of a and b can be written as

`a^2+b^2`

Since the quantity x is equal to the sum of the squares of a and b, therefore

`x=a^2+b^2`

Therefore option D is correct.