SOLUTION: The number √126 is approximately how many times √27 ? Give your answer to the nearest integer

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Question 990787: The number √126 is approximately how many times √27 ? Give your answer to the nearest integer
Found 3 solutions by josgarithmetic, Alan3354, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28126%29=11, APPROXIMATELY.
The ratio is then APPROX. 11%2F%283%2Asqrt%283%29%29=11%2F%283%2A1.73%29=11%2F5.19=2.11=2.
Wanted to the nearest WHOLE number.


Earlier solution not too good:
Less reliable choice of 14 for the numerator...
About

3, to the nearest whole number.

Answer by Alan3354(69443) About Me  (Show Source):
Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

The number √126 is approximately how many times √27 ? Give your answer to the nearest integer
sqrt%28126%29%2Fsqrt%2827%29 -------> 3sqrt%2814%29%2F3sqrt%283%29 ------> cross%283%29sqrt%2814%29%2Fcross%283%29sqrt%283%29

%28sqrt%283%29+%2A+sqrt%2814%29%29%2F%28sqrt%283%29+%2A+sqrt%283%29%29 -------- Rationalizing denominator

sqrt%2842%29%2Fsqrt%289%29

sqrt%2842%29%2F3_______2.160246899, or close to: highlight_green%282%29 times



OR



sqrt%28126%29%2Fsqrt%2827%29

sqrt%28126%29 is closer to 11

sqrt%2827%29 is closer to 5

Therefore, sqrt%28126%29%2Fsqrt%2827%29 should be approximately 2.2, or around: highlight_green%282%29 times

OR

Just take out your calculator and calculate: sqrt%28126%29%2Fsqrt%2827%29, which should give you: 2.160246899, or close to: highlight_green%282%29 times