Math, asked by bombalicious7324, 11 months ago

Show that 3+5√2 is an irrational number (√2 is an irrational number

Answers

Answered by lekhakalfa
1

Answer:

 \sqrt{2}

Is an irrational number

And when we multiply an irrational no. With ration no. It gives an irrational value and when we add irrational to a rational no. It gives irrational value

Here's your answer

INSTA: @ALFA_THE_LEKHAK

YOUTUBE :ALFA THE LEKHAK

Answered by Anonymous
16

Answer:

3+ 5√2 = p/q , where p ,q belongs to integers and q is not equal to zero.

5√2 = p/q - 3

5√2 = p - 3q/q

√2 = p - 3q /q /5

√2 = p - 3q /q (1/5)

√2 = p - 3q /5q

p - 3q /5q is rational number.

√2 rational number

Our assumption√2 is rational number is wrong.

Therefore 3+5√2 is an irrational number.

I hope it will help you mate!

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