Question

`sqrt(49^2 + 49 + 50)` = ______.

Options

• 49

• 50

• 51

• `7sqrt(51)`

Answer 1

`sqrt(49^2 + 49 + 50)` = 50.

Explanation:

We are given the expression:

`sqrt(49^2 + 49 + 50)`

Step 1: Simplify the terms inside the square root

First, calculate 49²:

49² = 2401

Now, substitute this into the expression:

`sqrt(2401 + 49 + 50)`

Step 2: Add the terms inside the square root

2401 + 49 + 50 = 2500

So the expression becomes:

`sqrt(2500)`

Step 3: Simplify the square root

`sqrt(2500) = 50`

Thus, the value of the expression is 50.