Question

Show that 5root 2 is irrational number



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Answer 1

Step-by-step explanation:

▪️Let us assume 5√2 to be Rational

▪️Then,

▪️5√2 = a / b [ Where, a & b are co-prime

and b ≠ 0 ]

▪️√2 = a / 5b

▪️a / 5b is rational

▪️But, we know √2 is Irrational

▪️This contradiction arise due to our wrong supposition that 5√2 is Rational.

▪️Hence,

▪️5√2 is Irrational !

Hopes it help you❤️❤️

Answer 2

Answer:

Step-by-step explanation:

Let us assume 5√2 to be Rational

Then,

5√2 = a / b [ Where, a & b are co-prime and b ≠ 0 ]

√2 = a / 5b

a / 5b is rational

But, we know √2 is Irrational

This contradiction arise due to our wrong supposition that 5√2 is Rational.

Hence,

5√2 is Irrational ! ! !

[ Thank you! for asking the question. ]

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