Question

Question 1.) find Hcf and Lcm of 426 and 576

Questions 2.)prove that

`3 + 2 √(5)`
is irrational number.

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Answer 1

1.

426=2*3*71

576=2*2*2*2*2*2*3*3

Now

L.C.F= 2×3×71*2*2*2*2*2*3=40896

H.C.F=2*3=6.

2.

we have.3+2√5

An irrational number is a number that cannot be expressed as a fraction for any integers.

over here √5 is not expressed as a fraction

So3+2√5 is not rational number.