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Show that the Following Numbers Are Irrational. 7 √ 5 - Mathematics

Numerical

Show that the following numbers are irrational.

\[7\sqrt{5}\]
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Solution

 Let us assume that `1/sqrt2` is rational .Then , there exist positive co primes a and b such that

`7/sqrt5=a/b`

`sqrt5=a/(7b)`

We know that `sqrt5` is an irrational number

Here we see that `sqrt5` is a rational number which is a contradiction

Hence `7sqrt5` is irrational

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 1 Real Numbers
Exercise 1.5 | Q 1.2 | Page 49
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