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

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

\(=\dfrac{\sqrt{x}}{x-1}\)

\(P=\left(\dfrac{2}{\sqrt{x}-1}+\dfrac{\sqrt{x}}{\sqrt{x}+1}\right).\dfrac{\sqrt{x}}{x+\sqrt{x}+2}\)

\(\Rightarrow P=\dfrac{2\left(\sqrt{x}+1\right)+\sqrt{x}\left(\sqrt{x}-1\right)}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}.\dfrac{\sqrt{x}}{x+\sqrt{x}+2}\)

\(\Rightarrow P=\dfrac{x+\sqrt{x}+2}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}.\dfrac{\sqrt{x}}{x+\sqrt{x}+2}\)

\(\Rightarrow P=\dfrac{\sqrt{x}}{x-1}\)

\(\Rightarrow P=\dfrac{\sqrt{3+2\sqrt{2}}}{3+2\sqrt{2}-1}\)

\(\Rightarrow P=\dfrac{\sqrt{\left(\sqrt{2}+1\right)^2}}{2+2\sqrt{2}}\)

\(\Rightarrow P=\dfrac{\sqrt{2}+1}{2\left(\sqrt{2}+1\right)}\)

\(\Rightarrow P=\dfrac{1}{2}\)

24.

\(M=\left|1-\sqrt{3}\right|+1-\sqrt{3}=\sqrt{3}-1+1-\sqrt{3}=0\)

Đáp án A

9.

\(\sqrt{0,4.90\left(2-x\right)^2}=\sqrt{36\left(2-x\right)^2}=6\left|2-x\right|=6\left(x-2\right)=6x-12\)

Đáp án D

23.

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

Đáp án C

14.\(\dfrac{\sqrt{a^3}}{\sqrt{a}}=\dfrac{a\sqrt{a}}{\sqrt{a}}=a\)

4.\(-\dfrac{1}{3}ab^3\sqrt{\dfrac{9a^2}{b^2}}=-\dfrac{1}{3}ab^3.\dfrac{-3a}{b}=a^2b^2\)

Chọn D

ngu toán lắm bạn

b

\(\sqrt{\dfrac{3a^6}{b^2}}=\dfrac{\sqrt{3a^6}}{\sqrt{b^2}}=\dfrac{\left|a^3\right|\sqrt{3}}{\left|b\right|}=\sqrt{3}a^2\left|\dfrac{a}{b}\right|\)

A

Câu 1:

Ta có 2x - y = 8 => 2x - y + 9 = 17

Mà 3x + y = 17 => 2x - y + 9 = 3x + y

<=> 9 - y = x + y <=> 9 = x + 2y <=> x = 9 - 2y

Mà 2x - y = 8 => 18 - 4y - y = 8 => 18 - 5y = 8 => y = 2 => x = 5

15.\(5\sqrt{3x}-\sqrt{12x}+\sqrt{75x}-15=5\sqrt{3x}-2\sqrt{3x}+5\sqrt{3x}-15=8\sqrt{3x}-15\left(D\right)\)

\(23,\sqrt[3]{2x+1}=3\\ \Rightarrow2x+1=27\\ \Rightarrow2x=26\\ \Rightarrow x=13\left(D\right)\)

Câu 26: C

Câu 26 - C

26C       21B