If $$\sqrt{x} = \sqrt{a}+\sqrt{b}$$, then which of the following is equivalent
to $$x$$ ?

Question

Uniteasy Admin · Accepted Answer

If $$\sqrt{x} = \sqrt{a}+\sqrt{b}$$,  then taking square on both sides will give the value of $$x$$
$$x = ( \sqrt{a}+\sqrt{b})^2$$
$$=(\sqrt{a} )^2+(\sqrt{b} )^2+2\sqrt{a}\sqrt{b}  $$
$$=a+b+2\sqrt{ab} $$
Therefore, A is the correct choice

Multiple Choice Question (MCQ)

Answer