YASH CLASSES
2. REAL NUMBERS
[ X ]
11. Show that
any prime positive integer s,
√s , is an
irrational number.
12. Show that following are irrational number
a. √2 b. √3 c. √5 d. √7 e. √11
13. Show that following are irrational number
a.1 +
√2 b. 5 + √3 c. 3 - √5
d. 2 + √7 e.
√11
-5 f. √2 + 11
g. √5 - 9 h.
√8
+ 2 i. √12 – 9
14.
Show that following are irrational number
a. √2
+ √5 b. √3 - √2 c. √5 - √ 8
d. √7 +
2√2 e. √11 -
5√3
15. State
Euclid’s division lemma .
16. State
Fundamental theorem of arithmetic .
17. If LCM of
a and 18
is 36 and the HCF of
a and 18 is 2 then find a .
18. If
n is natural number then 3n
- 2n is always
end with …..
19. If
n is natural number then 7n - 2n is always
end with …..
20. If
n is natural number then 7n - 4n is always
end with …..
21. If
sum of LCM and HCF of two numbers is
1260 and their LCM is 900 more than
their
HCF , then the product of two number
is…..