Question

prove that 2√15 ia an irrational number​

Answer 1

To prove : -

2√15 is an irrational number .

Solution:-

Let 2√15 be an rational number.

Therefore, we can find two co - prime integers a, b ( b not equal to 0 ) such that ,

2√15 = a / b

√15 = 1/2 ( a/b)

√15 = a/2b

Since a and b are integers , a/2b will also be rational and therefore √15 is rational.

This contradicts the fact that √15 is an irrational . Hence our assumption that 2√15 is rational is false.

Therefore, 2√15 is irrational.

Answer 2

Answer:

2√15 is an irrational number.

Step-by-step explanation:

Let we assume that 2√15 is a rational number then,

2√15 = a\b

√15 = a\2b

We know that √15 is an irrational number therefore 2√15 is also irrational number

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