Direction (41–52): What will come in the place of (?) mark in following question?

$\sqrt{256}+\sqrt{784}=?\times \sqrt{121}$

The correct answer is 4.

Let's solve the equation step-by-step:

The given equation is:

$\sqrt{256}+\sqrt{784}=?\times \sqrt{121}$

First, we find the square roots of the given numbers:

The square root of 256 is:
$\sqrt{256}=16$
The square root of 784 is:
$\sqrt{784}=28$
The square root of 121 is:
$\sqrt{121}=11$

Now, substitute these square root values back into the equation:

$16+28=?\times 11$

Simplify the addition on the left-hand side:

$44=?\times 11$

Solve for the question mark (?) by dividing both sides by 11:

$?=\frac{44}{11}$
$?=4$

Therefore, the value that should replace the question mark is 4.