Question

Show that 20 + √3 is an irrational number​

Answer 1

Required Answer:-

Question:

• Show that 20 + √3 is irrational.

Proof:

Let us assume that 20 + √3 is rational, say r.

So,

➡ 20 + √3 = r

➡ √3 = r - 20

As r is rational,

➡ r - 20 is rational

➡ √3 is rational.

But this contradicts the fact that √3 is irrational.

Hence, our assumption is wrong. Therefore 20 + √3 is an irrational number. (Hence Proved)

Learn More:

• Rational Number: A number that can be expressed in p/q form where q≠0 and p, q have no common factors (except 1) is called a rational number.
• Example: 2,3,4..1/2 etc.
• Irrational Number: A number that cannot be expressed in p/q form where q≠0 and p, q have no common factors(except 1) is called irrational number.
• Example: √2,√3,√5,√7 etc.

Answer 2

Answer:

here is your answer..

hope it helps..,✨