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1. 化简$\sqrt {a^{4}+a^{4}}$得(
A.$2a^{2}$
B.$2a^{4}$
C.$\sqrt {2}a^{2}$
D.$\sqrt {2}a^{4}$
C
)A.$2a^{2}$
B.$2a^{4}$
C.$\sqrt {2}a^{2}$
D.$\sqrt {2}a^{4}$
答案：
C
2. 下列根式中,是最简二次根式的是(
A.$\sqrt {x^{2}+y^{2}}$
B.$\sqrt {8a}$
C.$\sqrt {\frac {1}{3}}$
D.$\sqrt {a^{3}+2a^{2}}$
A
)A.$\sqrt {x^{2}+y^{2}}$
B.$\sqrt {8a}$
C.$\sqrt {\frac {1}{3}}$
D.$\sqrt {a^{3}+2a^{2}}$
答案：
A
3. $\sqrt {4\frac {4}{9}}$化简结果是(
A.$2\frac {2}{3}$
B.$\frac {2\sqrt {10}}{9}$
C.$6\sqrt {10}$
D.$\frac {2\sqrt {10}}{3}$
D
)A.$2\frac {2}{3}$
B.$\frac {2\sqrt {10}}{9}$
C.$6\sqrt {10}$
D.$\frac {2\sqrt {10}}{3}$
答案：
D
4. 计算:
(1)$\sqrt {6^{2}+8^{2}}=$
(1)$\sqrt {6^{2}+8^{2}}=$
10
; (2)$\sqrt {29^{2}-21^{2}}=$20
; (3)$\sqrt {96×14×289}=$$136\sqrt{21}$
.
答案：
(1)10
(2)20
(3)$136\sqrt{21}$
(1)10
(2)20
(3)$136\sqrt{21}$
5. 计算:
(1)$\frac {3}{2}\sqrt {20}×(-\sqrt {15})×(-\frac {1}{3}\sqrt {48})$; (2)$\sqrt {27}×\sqrt {50}÷\sqrt {6}$.
(1)$\frac {3}{2}\sqrt {20}×(-\sqrt {15})×(-\frac {1}{3}\sqrt {48})$; (2)$\sqrt {27}×\sqrt {50}÷\sqrt {6}$.
答案：
(1)60
(2)15
(1)60
(2)15
6. 化简:$\sqrt {\frac {5a^{3}b}{a^{2}-2ab+b^{2}}}(a＞b＞0)$.
答案：
$\frac{a\sqrt{5ab}}{a - b}$
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