Question

prove that 2 minus 3 root 5 is an irrational number

Answer 1

hope it will help plz mark as brainlist

Answer 2

2-3√5 is your question

•let us assume to the opposite i.e,
2-3√5 as rational .

•°•Therefore ,2-3√5 can be written in the form of a/b.

where a and b are co-prime numbers.

→2-3√5=a/b

→ -3√5=a/b-2

→ -3√5= a-2b/b

→ -√5=a-2b/3

•Where -√5 is an irrational number and a-2b/3 is a rational number.

Hence √5 is irrational.

This is a contradiction
i.e Rational≠Irrational.

Hence it is an irrational number.

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