Question
Between which two successive intergers do the following irrational numbers lie?
A.√167
B.^3√80
which irrational numbera lies between 5and6?
A.√167
B.^3√80
which irrational numbera lies between 5and6?
Answers
Steve
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
√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