Calculate √961 - √1: Square Root Difference Problem

Question

9611= \sqrt{961}-\sqrt{1}=

Video Solution

Solution Steps

00:00 Solve
00:03 Root of any number (X) squared, root cancels square
00:06 We decompose 961 to 31 squared
00:12 We'll use this formula in our exercise
00:15 Root and square cancel out
00:20 Let's calculate and solve
00:23 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Calculate 961 \sqrt{961}
  • Step 2: Calculate 1 \sqrt{1}
  • Step 3: Subtract the square roots obtained in Steps 1 and 2

Now, let's work through each step:
Step 1: We need to find 961 \sqrt{961} . Recognize that 961 is a perfect square and 961=31 \sqrt{961} = 31 because 312=961 31^2 = 961 .
Step 2: Next, calculate 1 \sqrt{1} . Since 1 is also a perfect square, 1=1 \sqrt{1} = 1 .
Step 3: Subtract these values: 311=30 31 - 1 = 30 .

Therefore, the solution to the problem is 30 30 .

Answer

30