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what is the square root of 7 9/16​

Sagot :

Answer: 11/4

Step-by-step explanation:

Please look into the attachment.

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Answer:

2.75

Step-by-step explanation:

So to figure this out, lets start by converting it into a inproper fraction.

So we know that the whole number is 7, and the denominator is 16, so we need to multiply them together to make our fraction improper:

7*16

=

112

Now add the 9 from what we already had of the fraction:

112+9

=

121

So our improper fraction is:

121/16

Now we must find the square root.

So to find the square root of a fraction, you have to take the square root of both the numerator and the denominator.

The square root of 121 is 11. We know this because 121 is a perfect square, and 11*11 makes 121.

The square root of 16 is 4. We know this as well because 16 is also a perfect square, and 4*4 makes 16.

So the square root of 121/16 is now:

11/4

If you need to, you can convert this into a mixed fraction or a decimal.

4 goes into 11, 2 times with a remander of 3. So:

2 3/4.

3/4 is equivelent to 0.75, so this can also be:

2.75

This is your answer!

Hope this helps!