Question

If o <y <x, which statement must be true?

(a) $\sqrt{x}-\sqrt{y}=\sqrt{x-y}$

(b) $\sqrt{x}+\sqrt{x}=\sqrt{2x}$

(c) $x\sqrt{y}=y\sqrt{x}$

(d) $\sqrt{xy}=\sqrt{x}\sqrt{y}$

Answer 1

We have to find which statement must be true?

Given

Option (a) :

Left hand side:

Right Hand side:

Left hand side is not equal to right hand side

The statement is wrong.

Option (b) :

Left hand side:

Right Hand side:

Left hand side is not equal to right hand side

The statement is wrong.

Option (c) :

Left hand side:

Right Hand side:

Left hand side is not equal to right hand side

The statement is wrong.

Option (d) :

Left hand side:

Right Hand side:

Left hand side is equal to right hand side

The statement is true.

Hence the correct choice is .