check whether under root 45 is a rational number or irrational number
Answers
Answered by
2
Answer:
it is an irrational number.
Step-by-step explanation:
Answered by
0
Answer:
it is................
let it be rational.....
therefore, √45=a/b, where a and b are prime no:
⇒45b²=a²>>>>>>>>(1)
let a=45c
so, (45c)²=45b²
⇒45c²=b²>>>>>>>>>>>>>>>(2)
But from 1 and 2 we get that b is a composite no: but our assumption says it is prime....
thus our assumption is wrong...
thus √45 is irrational..............
Proof:
√45=3√5 and √5 is irratioonal thus any no: multiplied with irrational no is irrational......
PLZ MARK AS BRAINLIEST!!!!!!!!!!!!!
Similar questions