Question

which one among the following is true?
(A)√m+√n=√m+n
(B)√(m+1)√(n+1)=√(m+1)(n+1)
(C)√m-√n =√m-n
(D)1/√m+√n =√m-n
(E) None of these​

Answer 1

Answer:

OPTION - B is correct.

Let's solve it!

$\to \sf \sqrt{m+1} \cdot \sqrt{n+1}$

▣ Apply the radical rule:

$\boxed{\sf{\red{\sqrt{a}\times \sqrt{b} =\sqrt{ab} }}}$

▣ Using this rule, we can write the above equation:

$\sf \sqrt{m+1} \cdot \sqrt{n+1} \to \sqrt{(m+1)(n+1)}$

___________

Answer 2

Answer :-

• (B)√(m+1)√(n+1)=√(m+1)(n+1)

Explanation

• √m+1 × √n+1

→ √x × √y = √xy -- (Radical rule)

→ x = m+1

→ y = n+1

• √m+1 × √n+1 = √(m+1)(n+1)

• The remaining options do not satisfy radical rule and are incorrect.