Math, asked by geethasanjuraj, 9 months ago

Which of the following will give us a rational number?
(1) ( 1+ √8) ( 1+ √8)
(2) ( 1+ √8) ( 1 - √8)

Answers

Answered by Anonymous

0

Step-by-step explanation:

$<b><i><body bgcolor = yellow><marquee direction="down"<font color=aqua blue></b></i>$

$(1 + √8) (1 - √8)$

It is correct..

Answered by TakenName

1

$(1+2\sqrt{2})^2=1+4\sqrt{2}+8=9+4\sqrt{2}$

$(1+2\sqrt{2} )(1-2\sqrt{2} )=1-(2\sqrt{2} )^2=-7$

One contains square root of 2. Since it is irrational, option 1 gives irrational number.

But -7 is a rational number. So option 2 will give us a rational number.

Option 2 is correct. I hope it helps.

Previous Question

Next Question

Similar questions

English, 4 months ago

these spectacles are john's .....

Hindi, 4 months ago

sammaka sarakka ke Jeevan se Kya sandhesh miltha hai...

Math, 4 months ago

A man's age is seven times that of his son. In 5years he will be four times as old as his son. what are the present ages of the man and his son?

Math, 9 months ago

Christine and Maria had 286 beans altogether. Christine and Laura had 610 beans altogether. Laura had 4 times as many beans as Maria. How many beans did Christine have?

Math, 9 months ago

In a group of 100 people, 15 like reading newspaper only, 12 like learning computers only and 8 like watching movie only on TV in their spare time. 40 like reading newspaper and watching movies, 20 like learning computers and watching movies, 10 like reading newspaper and learning computer, 65 like watching movies on TV. Draw Venn diagram and show the number of various portions. Hence evaluate...

Business Studies, 1 year ago

Amy's ve friends come to visit her by bus. Each pays $4 for a ticket. For supper, amy buys four pizzas at $5.75 each, 500 g of strawberries at $2.75 per kilogram, and a tub of ice cream for $4.75. Find how much change she gets.

Math, 1 year ago

An article manufactured by a company consists of two parts- a and b. In the process of manufacture of part a, 9 or of 100 are likely to be defective. Similarly 5 out of 100 are likely to be defective in the manufacture of part b. The probability that the assembled part will not be defective, is...

Physics, 1 year ago

Anand travelled 300km by train and 200km by taxi. It took 5hrs and 30mins. However if he travels 260km by train and 240km by taxi he takes 6mins more. Speed of train ?