0 reads0 ratings0 helpful
If (\sqrt{5}=\frac{p}{q}) is assumed in lowest form and (p=5k) is obtained in the proof, what is the next important aim?
Advertisement
Answer and explanation
Correct answer: To show that (q) is also divisible by (5)
Step 1: (p=5k) shows that (p) is divisible by (5). Step 2: Substituting it in (p^2=5q^2) gives (q^2=5k^2), so (q) is also divisible by (5). Step 3: A common factor (5) in both creates the contradiction.
Frequently asked questions
What is the correct answer to this question?
To show that (q) is also divisible by (5)
Why is this the correct answer?
Step 1: (p=5k) shows that (p) is divisible by (5). Step 2: Substituting it in (p^2=5q^2) gives (q^2=5k^2), so (q) is also divisible by (5). Step 3: A common factor (5) in both creates the contradiction.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Proof of irrationality of √2, √3, √5.
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
Advertisement