Math, asked by arshiya031206, 1 month ago

Prove that √3 − √7 is an irrational number.

Answers

Answered by mrgoodb62

3

Answer:

Answer Expert Verified

√3-√7 = r , where r is a rational number. ... RHS is purely rational . But , on the other hand , LHS is irrational [ √ 21 ] This is a contradiction.

Previous Question

Next Question

Similar questions

Science, 28 days ago

The energy received from the sun has more heat while the energy received from the moor has negligiable heat. why?

Chemistry, 28 days ago

Which of the following compounds has high polarity? A H-Br B H-CI C H-F D H-1 ...

Chemistry, 28 days ago

Annual Exam - 2014 8. 1 32.a) 3 CH, Br + AgF → CH3F + AgBr. Name the reaction. i) Write the equations for the steps in Syl mechanism of the conversion of tert. butybromide into tert. butyl alcohol. ii) Haloarenes are less reactive towards nucleophilic substitution reactions than haloalkanes. Give a reason. 2 b) Complete the following equations: i) C2H5OH + SOC12 - Dry ether 2 2 Na Supplementary...

English, 1 month ago

V. Add predicates to the following subjects: 1. Beggar...

Environmental Sciences, 1 month ago

which one is a tool for data collection...

English, 9 months ago

They have admitted the injured to the nearest hospital (Change it into passive voice)...

Math, 9 months ago

1/8 x 1/5 1/8 + 1/5 1/8 - 1/5 1/8 / 1/5 Pls solve...

Math, 9 months ago

the ordinate of the point (3,-3) is...