Prove that 5- 2root3 is irrational its urgent plzz do it i will mark u as brainliest and will follow u......................
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Prove that 5- 2root3 is irrational its urgent plzz do it i will mark u as brainliest and will follow u......................
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Answer:
Hey mate!! Here is the proof.
Step-by-step explanation:
Let, 5 - 2√3 be a rational number.
Therefore, 5 - 2√3 = [tex]\frac{P}{Q}[/tex][ where p and q are integer , q ≠ 0 and q and p are co- prime number ]
=> - 2√3 = [tex]\frac{P}{Q}[/tex] -5
=>- 2√3 = p - [tex]\frac{5Q}{Q}[/tex]
=> √3 = p - [tex]\frac{5Q}{-2Q}[/tex]
We know that p/q is a rational number.
.°. √3 is also a rational number.
This contradicts our assumption
5 - 2√3 is an irrational number
Answer:
5-2√3 is an Irrational number.