Đơn giản hoá \(\left(\dfrac{1}{2}\right)^{\dfrac{-1}{4}}\)
A) -16 B) -\(\sqrt{2}\) C) -\(\dfrac{1}{16}\) D) -\(\dfrac{1}{256}\) E) \(\sqrt{2}\)
\(\frac{4\sqrt{x}}{2+\sqrt{x}}+\frac{8\sqrt{x}}{4-x}:\left(\frac{\sqrt{x}-1}{x-2\sqrt{x}}-\frac{2}{\sqrt{x}}\right)\)
Tìm x biết:
\(\left(\left(4\times4+1\right)^{\sqrt{\frac{3}{2}\times2}}\right)\times x=\sqrt{6400}+\sqrt{6400}\times2\)
1.Tính
\(\left(\sqrt{100}-1\right).\left(\sqrt{100}-2\right).\left(\sqrt{100}-3\right).....\left(\sqrt{100}-55\right)\)
2. Tìm x
a)\(x^2=4\) b)\(x^2=5\) c)\(x^2=0\) d) \(x^2=1\) e)\(x^2-5=0\) g)\(x^2-2=0\)
h) \(x^2-3=0\) i)\(x^2+1=0\)
Áp dụng công thức:
Căn bậc hai
a,\(\frac{-6}{21}.\frac{3}{2}\)
b,\(\left\{-3\right\}.\left\{\frac{-7}{12}\right\}\)
c,\(\left\{\frac{11}{12}:\frac{33}{16}\right\}.\frac{3}{5}\)
d,\(\sqrt{\left\{-7\right\}^2}+\sqrt{\frac{2}{16}}-\frac{3}{2}\)
e,\(\frac{1}{2}.\sqrt{100}-\sqrt{\frac{1}{16}}+\left\{\frac{1}{3}\right\}^0\)
Tìm x biết:
\(a,\left(x-\dfrac{3}{4}\right)+50\%=\dfrac{1}{6}\)
\(b,\dfrac{1}{2}x-\dfrac{5}{6}x=\dfrac{7}{2}\)
\(c,\left(4-x\right)\left(3x+5\right)=0\)
\(d,\dfrac{x}{16}=\dfrac{50}{32}\)
\(e,\left(2x-3\right)+\dfrac{3}{2}=-\dfrac{1}{4}\)
\(\left(\frac{x\sqrt{x}}{\sqrt{x-1}}-\frac{x^{^2}}{x\sqrt{x}-x}\right).\left(\frac{1}{\sqrt{x}}-2\right)\)Rút gọn
Tìm x,y biết: \(\sqrt{x^2+1}+\sqrt{3x^2+4}=3-\left(x+2y-1\right)^2.\)
giúp mình với mai mình phải nộp rồi
a, \(\left\{2-\frac{3}{4}\right\}^2:\frac{11}{16}\)
b,\(2^3.\frac{7}{20}+\frac{7}{10}\)
c,\(\sqrt{3^2+4^2}-\sqrt{1^3+2^3+3^3}\)
d,\(21^3:\left\{-7\right\}^3\)