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

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

The correct option is 4.

Let's solve the given mathematical equation step-by-step to find the value of the question mark (?).

The given equation is:

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

Step 1: Simplify the square roots.
We find the square root of each number:

$\sqrt{256}=16$ (since 16 × 16 = 256)

$\sqrt{784}=28$ (since 28 × 28 = 784)

$\sqrt{121}=11$ (since 11 × 11 = 121)

Step 2: Substitute these values back into the equation.

$16+28=?\times 11$

Step 3: Simplify the left side of the equation.

$44=?\times 11$

Step 4: Solve for the question mark (?).
Divide both sides of the equation by 11:

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

$?=4$

Thus, the value that comes in place of the question mark is 4.