Solve Square Root Problem: Simplifying √(64/4)

Question

Solve the following exercise:

644= \sqrt{\frac{64}{4}}=

Video Solution

Solution Steps

00:06 Let's solve this problem together.
00:09 First, we need to calculate the quotient.
00:14 We'll start by breaking down 16 into 4 to the power of 2.
00:19 Remember, the square root of any number, A to the power of 2, cancels out the square.
00:25 Let's apply this formula to our problem, and cancel out the square.
00:30 And there we have it! That's the solution.

Step-by-Step Solution

To solve the problem of finding 644 \sqrt{\frac{64}{4}} , we will proceed as follows:

  • Step 1: Simplify the fraction 644 \frac{64}{4} .
  • Step 2: Calculate the square root of the simplified result.

Let's work through these steps:

Step 1: Simplify the fraction.

The fraction given is 644 \frac{64}{4} . When we divide 64 by 4, we obtain 16.

So, 644=16 \frac{64}{4} = 16 .

Step 2: Calculate the square root.

Now, we need to find 16 \sqrt{16} . We know that the square root of 16 is 4 because 4×4=16 4 \times 4 = 16 .

Therefore, the solution to the problem 644 \sqrt{\frac{64}{4}} is 4.

Answer

4