Question

Упростите выражений:

1)$sqrt{36b}-sqrt{16b}+2sqrt{b}$

Выполните действий:

2)$(3sqrt{8}+sqrt{18})*sqrt{2}$

3)$(2a-sqrt{b})(2a+sqrt{b})$

4)$(sqrt{3}+sqrt{2})^{2}-sqrt{24}$

 

Answer 1

$sqrt{36b}-sqrt{16b}+2sqrt{b}=6sqrt{b}-4sqrt{b}+2sqrt{b}=4sqrt{b}$

$(3sqrt{8}+sqrt{18})*sqrt{2}=3sqrt{16}+sqrt{36}=3*4+6=12+6=18$

$(2a-sqrt{b})(2a+sqrt{b})=(2a)^{2}-(sqrt{b})^{2}=4a^{2}-b$

$(sqrt{3}+sqrt{2})^{2}-sqrt{24}=3+2+2sqrt{6}-sqrt{24}=5+sqrt{24}-sqrt{24}=5$