Math, asked by Bhupalji, 1 year ago

(1) simlpify : 2/3-√2
(2)p/q find the value: 2.37 (baar on 37)

Answers

Answered by mysticd
3
Hi ,

1 ) 2/ (3 - √2 )

Rationalize the denominator,

= 2( 3 + √2 ) / [ ( 3 - √2 ) (3 + √2 ) ]

= 2 (3 + √2 ) / [ 3² - ( √2 )² ]

= 2 ( 3 + √2 ) / ( 9 -2 )

= [ 2( 3 + √2 )]/ 7

2 ) Let x = 2.373737....-----( 1 )

Multiply equation ( 1 ) with 100

100x = 237.373737.....( 2 )

Subtract equation ( 1 ) from ( 2 ) ,

99x = 235

x = 235 / 99

Therefore ,

x = 2.3737... = 235 / 99 ( p/ q form)

I hope this helps you.

:)
Answered by Nikki57
3
Heya friend,

1) 2/3-√2

2/3-√2 × 3+√2/3+√2
6+2√2 / (3)^2-(√2)^2
6+2√2 / 9-2
6+2√2/7

2) Refer the pic!

Hope it helps...!!!
Attachments:

Nikki57: Sorry for deleting answer 2 times. actually i read the 2nd question wrong -_-
mysticd: :)
Nikki57: ^_^
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