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Identify the following as rational or irrational. Give the decimal representation of the number: begin mathsize 12px style 3 square root of 18 end style
Asked by Topperlearning User | 28 Jul, 2017, 09:03: AM
answered-by-expert Expert Answer

size 12px 3 square root of size 12px 18 size 12px space size 12px equals size 12px space size 12px 3 size 12px space square root of size 12px 9 size 12px cross times size 12px 2 end root size 12px space size 12px equals size 12px space size 12px 3 size 12px cross times size 12px 3 size 12px cross times square root of size 12px 2 size 12px space size 12px equals size 12px space size 12px 9 square root of size 12px 2         (irrational)

[ Product of non-zero rational 9 and begin mathsize 12px style square root of 2 end style irrational is irrational]

Hence is an irrational number.


 

Answered by | 28 Jul, 2017, 11:03: AM

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