Solve Square Root of Fraction: Simplifying √(81/9)

Question

Complete the following exercise:

819= \sqrt{\frac{81}{9}}=

Video Solution

Solution Steps

00:00 Solve the following problem
00:03 Calculate 81 divided by 9
00:07 Break down 9 into 3 squared
00:11 The root of any number (A) squared cancels out the square
00:14 Apply this formula to our exercise, and proceed to cancel out the square
00:17 This is the solution

Step-by-Step Solution

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

  • Step 1: Simplify the fraction inside the square root.
  • Step 2: Apply the square root quotient property.
  • Step 3: Perform the necessary calculations and simplify if needed.

Let's work through each step:

Step 1: Simplify the fraction 819\frac{81}{9}. This simplifies to 99, as dividing 8181 by 99 gives us 99.

Step 2: Apply the square root property. We need to calculate 9\sqrt{9}.

Step 3: Calculate the square root. 9=3\sqrt{9} = 3, since 3×3=93 \times 3 = 9.

Therefore, the solution to the problem is 3 3 .

Answer

3