
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.


\(A\left(\sqrt{2};\sqrt{2}\right)\Rightarrow x=\sqrt{2};y=\sqrt{2}\) Thay vào hàm số \(y=\left(\sqrt{a}-2\right)x\) ta được :
\(\sqrt{2}=\left(\sqrt{a}-2\right)\sqrt{2}\)
\(\Rightarrow\sqrt{a}-2=1\)
\(\Rightarrow\sqrt{a}=3\)
\(\Rightarrow a=9\)
Vậy \(a=9\)


Tu \(-\sqrt{30}\) den \(\sqrt{30}\) co 5 so nguyen chia het cho 2 la -4;-2;0;2;4
Tu \(\sqrt{5}\) den \(\sqrt{60}\) co 2 so nguyen chia het cho 3 la 3;6
Tu $-\sqrt{30}$ den $\sqrt{30}$
co 5 so nguyen chia het cho 2 la -4;-2;0;2;4
Tu $\sqrt{5}$
den $\sqrt{60}$ co 2 so nguyen chia het cho 3 la 3;6


\(\left(\frac{2}{3}\right)^3\cdot\frac{9}{4}=\frac{2}{3}\)

1.
a. \(0,5\sqrt{100}-\sqrt{\dfrac{4}{25}}=5-\dfrac{2}{5}=\dfrac{23}{5}>1\)
\(\dfrac{\left(\sqrt{1\dfrac{1}{9}}-\sqrt{\dfrac{9}{16}}\right)}{5}=\dfrac{\dfrac{\sqrt{10}}{3}-\dfrac{3}{4}}{5}=\dfrac{-9+4\sqrt{10}}{60}\approx0,06< 1\)
\(\Rightarrow0,5\sqrt{100}-\sqrt{\dfrac{4}{25}}>\dfrac{\left(\sqrt{1\dfrac{1}{9}}-\sqrt{\dfrac{9}{16}}\right)}{5}\)
2.
Ta có:
\(\left(\sqrt{a+b}\right)^2=a+b\)
\(\left(\sqrt{a}+\sqrt{b}\right)=\left(\sqrt{a}\right)^2+2\sqrt{ab}+\left(\sqrt{b}\right)^2=a+2\sqrt{ab}+b\)
=> \(\sqrt{a+b}< \sqrt{a}+\sqrt{b}\)
1b.
Áp dụng công thức trên
=> \(\sqrt{25+9}< \sqrt{25}+\sqrt{9}\)
2.
\(\sqrt{a+b}< \sqrt{a}+\sqrt{b}\\ \Rightarrow a+b< a+2\sqrt{ab}+b\\ \Rightarrow2\sqrt{ab}>0\\ \Rightarrow\sqrt{ab}>0\)
Luôn đúng với mọi a;b dươn g
=> đpcm


Ta có:
\(\sqrt{25}+\sqrt{9}=5+3=8\)
\(\sqrt{25+9}=\sqrt{34}< \sqrt{64}=8\)
Vậy, \(\sqrt{25}+\sqrt{9}>\sqrt{25+9}\)
TL
= 3
nha bn
căn bậc 2 của 9 = 3 nhá bạn