0 reads0 ratings0 helpful
What is the smallest number by which (2^4\times3^3\times5^2) should be divided to get a perfect square?
Advertisement
Answer and explanation
Correct answer: (3)
Step 1: In a perfect square, every prime factor must have an even exponent. Step 2: (2^4) and (5^2) are already even powers, but (3^3) is odd. Dividing by (3) leaves (3^2). Step 3: Fix only the prime factor with an odd exponent.
Frequently asked questions
What is the correct answer to this question?
(3)
Why is this the correct answer?
Step 1: In a perfect square, every prime factor must have an even exponent. Step 2: (2^4) and (5^2) are already even powers, but (3^3) is odd. Dividing by (3) leaves (3^2). Step 3: Fix only the prime factor with an odd exponent.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Prime Factorisation.
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