1.化简下列各数.
(1)$\sqrt{64}=$
8
;
(2)$\sqrt{\dfrac{81}{16}}=$
$\dfrac{9}{4}$
;
(3)$\sqrt{0.25}=$
0.5
;
(4)$\sqrt{(-3)^2}=$
3
;
(5)$\sqrt{3^2+4^2}=$
5
;
(6)$\sqrt{13^2-5^2}=$
12
.
答案:(1)8 (2)$\dfrac{9}{4}$ (3)0.5 (4)3 (5)5 (6)12
2.求下列各数的算术平方根.
(1)16;
(2)$\frac{49}{64}$;
(3)14;
(4)0;
(5)2.25;
(6)$1\frac{9}{16}$。
答案:(1)4 (2)$\dfrac{7}{8}$ (3)$\sqrt{14}$ (4)0 (5)1.5 (6)$\dfrac{5}{4}$
3. 求下列各式的值.
(1) $\sqrt{5^2}$;
(2) $\sqrt{(-7)^2}$;
(3) $(\sqrt{0.6})^2$;
(4) $(-\sqrt{3})^2$;
(5) $(\sqrt{999})^2$;
(6) $-(\sqrt{7})^2$;
(7) $(\sqrt{\dfrac{49}{121}})^2$;
(8) $\sqrt{(-\dfrac{4}{3})^2}$.
答案:(1)5 (2)7 (3)0.6 (4)3 (5)999 (6)$-7$ (7)$\dfrac{49}{121}$ (8)$\dfrac{4}{3}$