Question

Find the square root of 0.0784. Express the answer as a fraction in its simplest form.

Answer 1

Answer:

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:

20

×

20

=

400

is too low

30

×

30

=

900

is too high, but closer to

784

If we raise the lower limit to

25

:

25

×

25

=

625

is still too low, but closer.

Now our range is

26

→

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

8

×

8

.

So the Square root of

784

=

28

Answer 2

Answer:

0.28

Step-by-step explanation:

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