Class 10 Mathematics
4 Practice Questions — The answers are hidden. Reveal them to check your answers. The Timed Test will be available in Phase 3.
Chapter: Ch. 1
Assume √3 = p/q in lowest terms. Then p² = 3q² so p is divisible by 3; write p = 3k. Then 9k² = 3q² ⇒ q² = 3k², so q is also divisible by 3. This contradicts lowest terms. Hence √3 is irrational.
The same pattern works for √2, √5, √7.
These practice sets use original GKSchools wording — they are not a verbatim dump of the NCERT textbook. “Important” means high-weight practice for the chapter, not a claim that these are previous-year exam questions.
Follow this loop every day: mixed test, current affairs, then today's subject. A new set arrives tomorrow.
After this page, use these three links — do not open a random page.
More sets from the same cluster — stay on this topic.
Timed papers with a scorecard — start any time, then return to a related quiz above.
