Daraja, ildizlar

Question 1

Quyidagi sonlarni o‘sish tartibida joylashtiring: $a=6$, $b=4\sqrt2$, $c=2\sqrt{10}$

Accepted Answer

$b<a<c$

Answer

$a<b<c$

Answer

$c<b<a$

Answer

$c<a<b$

Question 2

Agar $a$ va $b$ haqiqiy sonlar uchun $a<0<b$ bo‘lsa, u holda $-\sqrt[3]{a^3}+\sqrt[3]{b^3}+\sqrt{a^2}-\sqrt{b^2}$ ni soddalashtiring.

Accepted Answer

$-2a$

Answer

$2b-2a$

Answer

$2b$

Answer

$0$

Question 3

Chizmada $A(x)$, $B(x^2)$, $C(\sqrt{x})$ nuqtalar ta’svirlangan (bunda $0<x<1$). Bu nuqtalarga mos chizmani toping.

Accepted Answer

$0<B<A<C<1$

Answer

$0<A<B<C<1$

Answer

$0<C<A<B<1$

Answer

$0<A<C<B<1$

Question 4

Ifodaning qiymatini toping: $\left(\sqrt{4-\sqrt7}+\sqrt{4+\sqrt7}\right)^2$

Accepted Answer

14

Answer

7

Answer

11

Answer

22

Question 5

Ifodaning qiymatini toping: $a^2-4a+11$, bunda $a=2+\sqrt{5}$

Accepted Answer

12

Answer

7

Answer

5

Answer

13

Question 6

$x$, $y$, $z$ natural sonlar uchun $x^2=y^3$ va $y^4=z^2$ tengliklar o‘rinli bo‘lsa, quyidagi tengliklardan qaysi biri to‘g‘ri?

Accepted Answer

$x^4=z^3$

Answer

$x^3=z^2$

Answer

$x^2=z^3$

Answer

$x^3=z^4$

Question 7

$\sqrt{6-4\sqrt{2}}+\sqrt{7+2\sqrt{10}}+2-\sqrt[4]{(-5)^2}$ ni hisoblang.

Accepted Answer

4

Answer

0

Answer

$-3$

Answer

5

Boshqa mavzular