Question

Show that 5-7√2 is irrational number

Answer 1

Answer:

I can prove it

Step-by-step explanation:

Let 5-7√2 is not irrational

5-7√2=a(a=rational)

squaring on both sides

25+98-70√2=a²

-70√2 = a²-123

√2=123-a²/70

Since 123-a² / 70 is rational and √2 is irrational

Acc. to above equation

rational = irrational

This is contradiction for our assumption

So 5-7√2 is an irrational number

HENCE PROVED

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