Question

prove that √5+√3 is rational number???
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Answer 1

√5 =2.25

√3=1.75

√5+√3= 4

by adding it is a rational and now it can also be written in the form of p upon q.

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Answer 2

Answer:

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

then √3 + √5 = r

On squaring both sides,

(√3 + √5)2 = r2

3 + 2 √15 + 5 = r2

8 + 2 √15 = r2

2 √15 = r2 - 8

√15 = (r2 - 8) / 2

Now (r2 - 8) / 2 is a rational number and √15 is an irrational number .

Since a rational number cannot be equal to an irrational number . Our assumption that √3 + √5 is rational wrong .

Step-by-step explanation:

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