Solve √49 + √36: Adding Square Roots of Perfect Squares

Question

49+36= \sqrt{49}+\sqrt{36}=

Video Solution

Solution Steps

00:00 Solve
00:03 The square root of any number (N) squared, root cancels square
00:07 We will use this formula in our exercise
00:11 We'll break down 49 to 7 squared
00:19 We'll break down 36 to 6 squared
00:26 Root and square cancel out
00:32 Let's calculate and solve
00:35 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we will find the square roots of the given numbers and add the results:

  • First, compute 49\sqrt{49}. Since 72=497^2 = 49, we have 49=7\sqrt{49} = 7.
  • Next, compute 36\sqrt{36}. Since 62=366^2 = 36, we have 36=6\sqrt{36} = 6.
  • The final step is to sum these square roots: 7+6=137 + 6 = 13.

Therefore, the solution to the problem is 1313.

Answer

13