Question

show that 5+under root 2 is an irrational number ​

Answer 1

HeRe Is Your Ans ⤵

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Let , 5 + √2 iS an rational number

➡5 + √2 = A / B

➡√2 = A / B - 5

Irrational = Rational

So ，OuR assumption is incorrect

5 + √2 is an irrational number

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Answer 2

Step-by-step explanation:

x=5+√2

x²=(5+√2)²

x²=5²+√2²+2*5*√2

x²=25+2+10√2

x²=27+10√2

x²-27=10√2

x²-27/10=√2

now,

x is rational

x² is rational

x²-27/10 is rational

√2 is rational

but,√2 is irrational

thus,we arrive at a contradiction.So,our supposition that 5+√2 is rational is wong.

hence 5+√2 is an irrational