Question

Prove that 3+√2 and 2-√3 irrational no. ​

Answer 1

both are irrational no. Bcz √2 and √3

is not a perfect square that after solving we get a natural no.

......so., 3+√2and2-√3 is an irrational no.

..hope u get understand

Answer 2

Answer:

Explaination:

1) 3+√2

Assume that 3+√2 is a rational no.

therefore, 3+√2=p/q

3+√2 =a/b ..... where a and b are co-primes

√2 = a/b - 3

here, a, b, and -3 are rational no.s thus, √2 is also a rational no. . but this contradicts the fact that √2 is irrational. this contradiction has arisen due to our wrong assumption.

thus 3+√2 is irrational.

For 3-√2 the same method is applicable as above

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