Calculate the Square Root: Solving √225 Step by Step

Question

225= \sqrt{225}=

Video Solution

Step-by-Step Solution

To solve the problem, we will follow these steps:

  • Step 1: Identify the perfect squares near 225.
  • Step 2: Calculate to find which integer when squared equals 225.

Now, let's work through the steps:

Step 1: The perfect squares around 225 are 196=142196 = 14^2, 225=152225 = 15^2, and 256=162256 = 16^2.
Step 2: We calculate 152=15×15=22515^2 = 15 \times 15 = 225, therefore, 225=15\sqrt{225} = 15.

Therefore, the solution to the problem is 225=15 \sqrt{225} = 15 .

Accordingly, the correct answer choice is option 2: 15.

Answer

15