Between which two successive intergers do the following irrational numbers lie?

A.√167
B.^3√80

which irrational numbera lies between 5and6?

1 answer

what, no calculator? Evaluate the radicals and you will get a decimal number. For example,

√412 = 20.297
so, it lies between 20 and 21

As for the 2nd part, consider any irrational number less than 1, say, √.73 = .854

So, 5 < 5+√.73 < 6

ot, consider that

5^2 = 25
6^2 = 36
So,
5 < √28 < 6
5 < √34 < 6
and so on
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