0 reads0 ratings0 helpful
If (m) is a positive integer and (m) is not a perfect square, which statement about (\sqrt{m}+4) is correct?
Advertisement
Answer and explanation
Correct answer: It is always irrational
Step 1: Since (m) is not a perfect square, (\sqrt{m}) is irrational. Step 2: (4) is rational, and adding it to an irrational number gives an irrational number. Step 3: Connect the non-perfect-square condition directly with the nature of the square root.
Frequently asked questions
What is the correct answer to this question?
It is always irrational
Why is this the correct answer?
Step 1: Since (m) is not a perfect square, (\sqrt{m}) is irrational. Step 2: (4) is rational, and adding it to an irrational number gives an irrational number. Step 3: Connect the non-perfect-square condition directly with the nature of the square root.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Irrational numbers.
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