Answer:
To Prove : 2√3 + √5 is irrational
we know that √3 & √5 are irrational numbers.
Now we use result which states that
Product of a rational and an irrational no. is an irrational no.
⇒ 2√3 is irrational no.
Now. according to closure property of irrational no.
Sum of two irrational no. is also an irrational no.
⇒ 2√3 + √5 is an irrational no.
Hence Proved
We know that √3 & √5 are irrational numbers.
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Answer:
To Prove : 2√3 + √5 is irrational
we know that √3 & √5 are irrational numbers.
Now we use result which states that
Product of a rational and an irrational no. is an irrational no.
⇒ 2√3 is irrational no.
Now. according to closure property of irrational no.
Sum of two irrational no. is also an irrational no.
⇒ 2√3 + √5 is an irrational no.
Hence Proved
Answer:
To Prove : 2√3 + √5 is irrational
We know that √3 & √5 are irrational numbers.
Now we use result which states that
Product of a rational and an irrational no. is an irrational no.
⇒ 2√3 is irrational no.
Now. according to closure property of irrational no.
Sum of two irrational no. is also an irrational no.
⇒ 2√3 + √5 is an irrational no.
Hence Proved