B. (k) धनात्मक हो लेकिन पूर्ण वर्ग न हो/(k) is positive but not a perfect square
Step 1
Concept
The zeroes are \(x=\pm\sqrt{k}\). They are irrational real when (k>0) and (k) is not a perfect square.
Step 2
Why this answer is correct
The correct answer is B. (k) धनात्मक हो लेकिन पूर्ण वर्ग न हो / (k) is positive but not a perfect square. The zeroes are \(x=\pm\sqrt{k}\). They are irrational real when (k>0) and (k) is not a perfect square.
Step 3
Exam Tip
शून्यक \(x=\pm\sqrt{k}\) हैं। ये अपरिमेय वास्तविक तभी होंगे जब (k>0) और (k) पूर्ण वर्ग न हो।
\(\sqrt{59}\) is irrational because (59) is not a perfect square. Its negative is also a real irrational number.
Step 2
Why this answer is correct
The correct answer is A. अपरिमेय वास्तविक संख्या / Irrational real number. \(\sqrt{59}\) is irrational because (59) is not a perfect square. Its negative is also a real irrational number.
Step 3
Exam Tip
\(\sqrt{59}\) अपरिमेय है क्योंकि (59) पूर्ण वर्ग नहीं है। उसका ऋण भी वास्तविक अपरिमेय है।
\(\sqrt{47}\) is irrational because (47) is not a perfect square. Its negative is also a real irrational number.
Step 2
Why this answer is correct
The correct answer is A. अपरिमेय वास्तविक संख्या / Irrational real number. \(\sqrt{47}\) is irrational because (47) is not a perfect square. Its negative is also a real irrational number.
Step 3
Exam Tip
\(\sqrt{47}\) अपरिमेय है क्योंकि (47) पूर्ण वर्ग नहीं है। उसका ऋण भी वास्तविक अपरिमेय है।
A real number that is not rational is called irrational. It can also be identified through its decimal form.
Step 2
Why this answer is correct
The correct answer is A. अपरिमेय संख्या / Irrational number. A real number that is not rational is called irrational. It can also be identified through its decimal form.
Step 3
Exam Tip
वास्तविक संख्या जो परिमेय नहीं होती वह अपरिमेय कहलाती है। इसे दशमलव से भी पहचाना जा सकता है।
A. यह परिमेय और वास्तविक है/It is rational and real
Step 1
Concept
(0) can be written as \(\frac{0}{1}\) so it is rational. It also lies on the number line.
Step 2
Why this answer is correct
The correct answer is A. यह परिमेय और वास्तविक है / It is rational and real. (0) can be written as \(\frac{0}{1}\) so it is rational. It also lies on the number line.
Step 3
Exam Tip
\(0=\frac{0}{1}\) लिखा जा सकता है इसलिए यह परिमेय है। यह संख्या रेखा पर भी आता है।
