Question

prove that √3+√5is irrational number​

Answer 1

Your Answer is here:-

Let √3 + √5 be a rational number , say x

then √3 + √5 = x

On squaring both sides,

(√3 + √5)² = x²

3 + 2 √15 + 5 = x²

8 + 2 √15 = x²

2 √15 = x² - 8

√15 = (x² - 8) / 2

Now (x² - 8) / 2 is a rational number and √15 is an irrational number .

So, it is an irrational number.

Hope it helps you dear........xd

Answer 2

Answer:

A rational number can be written in the form of p/q where p,q are integers. p,q are integers then (p²+2q²)/2pq is a rational number. Then √5 is also a rational number. ... Therefore, √3+√5 is an irrational number.

Step-by-step explanation:

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