What is the square root of 784?

4 Answers
Sep 16, 2015

28

Explanation:

-Write down the factors of 784 and and see if they share the same with the choices.
- For example, if you see 27 and 29, you can tell that there is no factor of 27 or 29 in 576 since they are prime number and eliminate them.
- At this time you verify one by multiplying 28xx28 to verify.

Recheck:

28xx28=784

Apr 12, 2017

The square root of 784 = 28

Explanation:

It is beneficial to be able to estimate, or calculate exactly the square root of any number when a calculator is not present.

For this example, we can start an estimation limit high and low as follows:

20xx20=400 is too low

30xx30=900 is too high, but closer to 784

If we raise the lower limit to 25:

25xx25=625 is still too low, but closer.

Now our range is 26 to 29.

But the squared number ends in 4, and the only number in our range multiplied by itself to result in a 4 would be 8xx8.

So the Square root of 784 = 28

Apr 12, 2017

28

Explanation:

The square root of 784 = 28.
Kindly use a calculator for these questions,.

sqrt784 = 28

If want to recheck the answer, multiply

28xx28=784

Apr 12, 2017

If you still have doubts use a prime factor tree.

sqrt(784)=28

Explanation:

You are looking for squared values that are factors of 784. Use the lowest value prime numbers that you can. Good idea to commit some of them to memory. It will pay off in the end. You can find lists of them all over the internet.

Tony B

From the factor tree we have:

sqrt(2^2xx2^2xx7^2)=2xx2xx7 =28