0 reads0 ratings0 helpful
In the proof of (\sqrt{3}), why is (q) not directly said to be divisible by (3) from (p^2=3q^2)?
Advertisement
Answer and explanation
Correct answer: First (p) must be proved divisible by (3) and (p=3k) must be substituted
Step 1: From (p^2=3q^2), first (p^2) and then (p) are found divisible by (3). Step 2: After substituting (p=3k), we get (q^2=3k^2). Step 3: Then (q) is concluded divisible by (3).
Frequently asked questions
What is the correct answer to this question?
First (p) must be proved divisible by (3) and (p=3k) must be substituted
Why is this the correct answer?
Step 1: From (p^2=3q^2), first (p^2) and then (p) are found divisible by (3). Step 2: After substituting (p=3k), we get (q^2=3k^2). Step 3: Then (q) is concluded divisible by (3).
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