4. 化简下列二次根式:
(1)$\sqrt{27}=$
(1)$\sqrt{27}=$
$3\sqrt{3}$
;(2)$\sqrt{24}=$$2\sqrt{6}$
.答案
4. (1)$3\sqrt{3}$ (2)$2\sqrt{6}$
5. 若$\sqrt{12n}$是整数,则正整数$n$的最小值为
3
.答案
5. 3
6. 已知$\sqrt{4xy}=2\sqrt{x}·\sqrt{y}$,则$x,y$满足的条件是
$x≥ 0$且$y≥ 0$
.答案
6. $x≥ 0$且$y≥ 0$
7. 计算:$5^0 - (-2) + \sqrt{8}×\sqrt{2}$.
答案
7. 7
8. 计算:
(1)$-\sqrt{15}×\sqrt{10}×(-\sqrt{12})$;
(2)$\sqrt{75}×(-\sqrt{6}×\sqrt{12})$.
(1)$-\sqrt{15}×\sqrt{10}×(-\sqrt{12})$;
(2)$\sqrt{75}×(-\sqrt{6}×\sqrt{12})$.
答案
8. (1)$30\sqrt{2}$ (2)$-30\sqrt{6}$
9. 计算:$\sqrt{-9×(-28)×12}$.
答案
9. $12\sqrt{21}$
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