`\sqrt{2a^3}.\sqrt{8/a}` `ĐK: a > 0`
`=\sqrt{[2a^3. 8]/a}`
`=\sqrt{16a^2}`
`=4|a|=4a`
`\sqrt{2a^3}.\sqrt{8/a}` `ĐK: a > 0`
`=\sqrt{[2a^3. 8]/a}`
`=\sqrt{16a^2}`
`=4|a|=4a`
a \(\dfrac{\sqrt{2}+\sqrt{3}+\sqrt{6}+\sqrt{8}+\sqrt{16}}{\sqrt{2}+\sqrt{3}+\sqrt{4}}\)
b \(\sqrt{\dfrac{2a}{3}}.\sqrt{\dfrac{3a}{8}}\) với a>0
c \(\sqrt{5a.45a}-3a\) với a<0
\(\sqrt{\dfrac{\sqrt{5}}{8\sqrt{5}+3\sqrt{35}}}\cdot\left(3\sqrt{2}+\sqrt{14}\right)\)
Với a \(a\le0,tính\sqrt{\dfrac{-2a}{3}}.\sqrt{\dfrac{-3a}{8}}\)
a : \(\sqrt{\dfrac{2a}{3}}.\sqrt{\dfrac{3a}{8}}\) với a ≥ 0
b : \(\sqrt{3a}.\sqrt{\dfrac{52}{a}}\)với a ≥ 0
c : \(2y^2.\sqrt{\dfrac{x^4}{4y^2}}\)với y ≤ 0
rút gọn \(\sqrt{\dfrac{2a}{3}}.\sqrt{\dfrac{3a}{8}}\)với a ≥ 0
\(\dfrac{a\sqrt{a}-8}{\sqrt{a}-2}\)+\(\dfrac{2a}{\sqrt{a}}\)
1. Rút gọn biểu thức:
a) \(\sqrt{27\cdot48\cdot\left(1-a\right)^2}\)với a>1
b) \(\frac{1}{a-b}\cdot\sqrt{a^4\left(a-b\right)^2}\) với a>b
c) \(\sqrt{\frac{2a}{3}}\cdot\sqrt{\frac{3a}{8}}\)với \(a\ge0\)
d) \(\sqrt{13a}\cdot\sqrt{\frac{52}{a}}\)với a>0
e) \(\left(3-a\right)^2-\sqrt{0.2}\cdot\sqrt{180a^2}\)
a) \(\dfrac{a\sqrt{a}-8+2a-4\sqrt{a}}{a-4}\)
b) \(\dfrac{12\sqrt{6}}{\sqrt{7+2\sqrt{6}}-\sqrt{7-2\sqrt{6}}}\)
B1:Tìm a để biểu thức sau có nghĩa
1.\(\sqrt{a^2+2a-3}\)
2.\(\sqrt{\dfrac{\left(a-1\right)^3}{a^2}}\)
3.\(\sqrt{\dfrac{a^2+1}{2a}}\)
4.\(\sqrt{\dfrac{a-1}{2a+1}}\)
cho M=\(\left(\dfrac{\sqrt{x}}{\sqrt{x}-3}+\dfrac{\sqrt{x}}{\sqrt{x}+3}\right)\cdot\dfrac{x-9}{\sqrt{9x}}\)
a, rút gọn M
b.tìm x để m bằng 6