Compare the square root of 27 to 5 7/9. Is it greater than, less than, or equal to?

Question

Compare the square root of 27 to 5 7/9.  Is it greater than, less than, or equal to?

mathstudent55 · Answer

All you need is a calculator.
Can you use it to get sqrt(27) and change 5 7/9 into a decimal?

anonymous · Answer

The square root of a larger number will always be larger because the root is just the number needed to be multiplied by itself to get that number. For example 5 x 5 = 25 therefore 5 is the sqrt of 25

mathstudent55 · Answer

5 * 5 = 25
6 * 6 = 36
27 is much closer to 25 than to 36, so the root of 27 is much closer to 5 than to 6.

5 7/9 has a fractional part of 7/9 which is much closer to 1 than to zero, so 5 7/9 is much closer to 6 than to 5.

anonymous · Answer

Thank you

mathstudent55 · Answer

wlcm