Math, asked by geethasanjuraj, 7 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.

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