Question

prove that √7-√3 is irrational​

Answer 1

Answer:

any no. which is not a perfect square or is a prime no. with underoot is irrational no.

Step-by-step explanation:

since 7 and 3 are prime no. and prime no. can't be written as the square of a rational no. since the values of √7 and √3 are irrational.

Condition: any decimal can be written as rational no. if and only if the decimal repeats or terminates.

e.g.: value of √3 is 1.73205080757

in this value, you can see that the digits after decimal are not repeating so this is irrational.

same consequences will occur with √7