đk a ≥ 0 , b ≥
\(=\sqrt{b}\left(\sqrt{a}+3\right)+2\left(\sqrt{a}+3\right)\\ =\left(\sqrt{b}+2\right)\left(\sqrt{a}+3\right)\)
đk a ≥ 0 , b ≥
\(=\sqrt{b}\left(\sqrt{a}+3\right)+2\left(\sqrt{a}+3\right)\\ =\left(\sqrt{b}+2\right)\left(\sqrt{a}+3\right)\)
\(\frac{2\sqrt{a}+3\sqrt{b}}{\sqrt{ab}+2\sqrt{a}-3\sqrt{b}-6}-\frac{6-\sqrt{ab}}{\sqrt{ab}+2\sqrt{a}-3\sqrt{b}+6}\)
\(x = {2 \sqrt{a} \ +\ 3\sqrt{b} \over\sqrt{ab}\ +\ 2\sqrt{a}\ -\ 3\sqrt{b}\ -6 }\)\( -{6 \sqrt{ab} \over \sqrt{ab} +\ 2\sqrt{a}+\ 3\sqrt{b}+6}\)
Rút gọn
\(Q=\frac{2\sqrt{a}+3\sqrt{b}}{\sqrt{ab}+2\sqrt{a}-3\sqrt{b}-b}-\frac{6-\sqrt{ab}}{\sqrt{ab}+2\sqrt{a}+3\sqrt{b}+b}\)
a) Rút gọn Q
Rút Gọn Biểu Thức
\(\dfrac{2}{\sqrt{3}-1}-\dfrac{2}{\sqrt{3}+1}\)
\(\dfrac{\sqrt{12}-\sqrt{6}}{\sqrt{30}-\sqrt{15}}\)
\(\sqrt{9a}+\sqrt{81a}+3\sqrt{25a}-16\sqrt{49a}\) (a ≥ 0)
\(\dfrac{ab-bc}{\sqrt{ab}-\sqrt{bc}}\)
\(\left(a\sqrt{\dfrac{a}{b}+2\sqrt{ab}+b\sqrt{\dfrac{a}{b}}}\right)\sqrt{ab}\)
\(\left(\dfrac{1-a\sqrt{a}}{1-\sqrt{a}}+\sqrt{a}\right)\left(\dfrac{1+a\sqrt{a}}{1+\sqrt{a}}\right)\)
giúp i:33
a) \(\left(2\sqrt{6}-4\sqrt{3}+5\sqrt{2}-\dfrac{1}{4}\sqrt{8}\right).3\sqrt{6}\)
b) \(\dfrac{\sqrt{a}-\sqrt{b}}{a+b-2\sqrt{ab}}\)
Câu 1 : Rút gọn biểu thức
a, \(\frac{2}{5}\sqrt{75}-0,5\sqrt{48}+\sqrt{300}-\frac{2}{3}\sqrt{12}.\)b, \(\frac{9-2\sqrt{3}}{3\sqrt{6}-2\sqrt{2}}+\frac{3}{3+3\sqrt{6}}.\)
c\(\frac{\left(\sqrt{a}-\sqrt{b}\right)^2+4\sqrt{ab}}{\sqrt{a}+\sqrt{b}}-\frac{a\sqrt{b}-b\sqrt{a}}{\sqrt{ab}}.\)Với a>0;b>0
Cho \(Q=\frac{2\sqrt{a}+3\sqrt{b}}{\sqrt{ab}+2\sqrt{a}-3\sqrt{b}-6}-\frac{6-\sqrt{ab}}{\sqrt{ab}+2\sqrt{a}+3\sqrt{b}+6}\)
a, Rút gọn Q
B, Chứng minh Q=\(\frac{b+81}{b-81}\)thì \(\frac{b}{a}\)là một số nguyên chia hết cho 3
25. 7\(\sqrt{x}\)- 6x- 2
26.\(x^2\)-\(\sqrt{x}\)+x -1
27. 2a - 5\(\sqrt{ab}\)+ 3b
28.\(\sqrt{ab}\)+2\(\sqrt{a}\)+ 3\(\sqrt{b}\)+6
Rút gọn biểu thức
a) \(\dfrac{9-a}{\sqrt{a}+3}-\dfrac{9-6\sqrt{a}+a}{\sqrt{a}-3}\)
b) \(\dfrac{a+b-2\sqrt{ab}}{\sqrt{a}-\sqrt{b}}-\dfrac{a-b}{\sqrt{a}+\sqrt{b}}\)
HELP ME
cho biểu thức
M=\(\frac{2\sqrt{a}+3\sqrt{a}}{\sqrt{ab}+2\sqrt{a}-3\sqrt{a}-6}-\frac{6-\sqrt{ab}}{\sqrt{ab}+2\sqrt{a}+3\sqrt{b}+6}\)
a) tìm đkxd
b) rút gọn
c) chứng minh rằng :nếu\(M=\frac{b+81}{b-81}\)khi đó \(\frac{a}{b}\)là mottj số nguyên chia hết cho 3
các bn giúp mink với mink cần gấp