Bài 18:

a: Ta có: \(P=\left(\dfrac{\sqrt{a}}{2}-\dfrac{1}{2\sqrt{a}}\right)^2\cdot\left(\dfrac{\sqrt{a}-1}{\sqrt{a}+1}-\dfrac{\sqrt{a}+1}{\sqrt{a}-1}\right)\)

\(=\dfrac{\left(\sqrt{a}-1\right)^2\cdot\left(\sqrt{a}+1\right)^2}{4a}\cdot\dfrac{a-2\sqrt{a}+1-a-2\sqrt{a}-1}{\left(\sqrt{a}+1\right)\left(\sqrt{a}-1\right)}\)

\(=\dfrac{\left(a-1\right)\cdot\left(-4\right)\cdot\sqrt{a}}{4a}\)

\(=\dfrac{-a+1}{\sqrt{a}}\)

b: Để P<0 thì -a+1<0

\(\Leftrightarrow-a< -1\)

hay a>1

c: Để P=-2 thì \(-a+1=-2\sqrt{a}\)

\(\Leftrightarrow-a+1+2\sqrt{a}=0\)

\(\Leftrightarrow a-2\sqrt{a}+1=2\)

\(\Leftrightarrow\left(\sqrt{a}-1\right)^2=2\)

\(\Leftrightarrow\sqrt{a}-1=\sqrt{2}\)

hay \(a=3+2\sqrt{2}\)

Bài 17:

a: Ta có: \(P=\dfrac{a\sqrt{a}-1}{a-\sqrt{a}}-\dfrac{a\sqrt{a}+1}{a+\sqrt{a}}+\left(\sqrt{a}-\dfrac{1}{\sqrt{a}}\right)\left(\dfrac{\sqrt{a}+1}{\sqrt{a}-1}+\dfrac{\sqrt{a}-1}{\sqrt{a}+1}\right)\)

\(=\dfrac{a+\sqrt{a}+1-a+\sqrt{a}-1}{\sqrt{a}}+\dfrac{a-1}{\sqrt{a}}\cdot\dfrac{a+2\sqrt{a}+1+a-2\sqrt{a}+1}{a-1}\)

\(=2+\dfrac{2a+2}{\sqrt{a}}\)

\(=\dfrac{2a+2\sqrt{a}+2}{\sqrt{a}}\)

f: =-1/8-7/6+3/4-1

=-3/24-28/24+18/24-1

=-31/24+18/24-1

=-13/24-1=-37/24

g: \(=6\cdot\dfrac{-8}{27}-3\cdot\dfrac{4}{9}+\dfrac{4}{3}+4\)

=-48/27+4

=108/27-48/27

=60/27

=20/9

h: \(=\left[6\cdot\dfrac{1}{9}+1+1\right]\cdot\left(-3\right)-1\)

=(2/3+2)*(-3)-1

=-2-6-1

=-3-6=-9

f: -37/24

g: 20/9

h: -9

mik gửi cho  bạn 4 mẫu rui đấy

\(n_{H_2}=\dfrac{0,224}{22,4}=0,01\left(mol\right)\\ pthh:2R+2H_2O\rightarrow2ROH+H_2\) 
          0,02                                0,01 (mol) 
\(\Rightarrow M_R=0,78:0,02=39\left(\dfrac{g}{mol}\right)\) 
mà R hóa trị I => R là K

hình bé quá

sin 65⁰=cos 35⁰
\(cos70^0=sin30^0\)
\(tan80^0=cot20^0\)
\(cot68^0=tan32^0\)

Ko nhìn chữ bn ơi, bn cho to hình một tý

Bài 1: 

a: \(\sqrt{0.49a^2}=-0.7a\)

b: \(\sqrt{25\left(a-7\right)^2}=5a-35\)

c: \(\sqrt{a^4\left(a-2\right)^2}=a^2\cdot\left(a-2\right)\)

d: \(\dfrac{1}{a-3b}\cdot\sqrt{a^6\left(a-3b\right)^2}\)

\(=\dfrac{1}{a-3b}\cdot a^3\cdot\left(a-3b\right)=a^3\)

Bài 2: 

a: \(2\left(x+y\right)\cdot\sqrt{\dfrac{1}{x^2+2xy+y^2}}\)

\(=2\left(x+y\right)\cdot\dfrac{1}{x+y}\)

=2

b: \(\dfrac{3x}{7y}\cdot\sqrt{\dfrac{49y^2}{9x^2}}\)

\(=\dfrac{3x}{7y}\cdot\dfrac{-7y}{3x}\)

=-1

\(1,\\ a,\sqrt{0,49a^2}\left(a< 0\right)=-0,7a\\ b,\sqrt{25\left(7-a\right)^2}\left(a\ge7\Leftrightarrow7-a\le0\right)=5\left(a-7\right)\\ c,\sqrt{a^4\left(a-2\right)^2}\left(a>0\right)=\left[{}\begin{matrix}a^2\left(a-2\right),\forall a\ge2\\a^2\left(2-a\right),\forall0< a< 2\end{matrix}\right.\\ d,\dfrac{1}{a-3b}\sqrt{a^6\left(a-3b\right)^2}\left(a>3b>0\right)=\dfrac{1}{a-3b}\cdot a^3\left(a-3b\right)=a^3\)