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If \(x=2.\overline3-0.\overline9,\ y=2.\overline5-0.\overline5 \) then \(x^2+y^2-2xy \) is
If \(x=\dfrac{\sqrt2+\sqrt1}{\sqrt2-\sqrt1},y=\dfrac{\sqrt2-\sqrt1}{\sqrt2+\sqrt1} \). The value of \(x^2-y^2 \) is
If \(a=3+2\sqrt2 \) and \(b=\dfrac{1}{a} \) then \(a^2+b^2= \)
\(\dfrac{4^{-3}\times a^{-5}\times b^{-9}}{4^{-5}\times a^{-8}\times b^3}= \)
\(2\sqrt[3]{189}+3\sqrt[3]{448}-7\sqrt[3]{56}= \)
\(7\sqrt[4]{162}-5\sqrt[4]{32}+\sqrt[4]{1250}= \)
If \(x=2-\sqrt3 \), the value of \(x^2+4x+4= \)
The value of \(x \) when \(2^{x+4}.3^{x+1}=288 \) is
The value of a in \(\dfrac{\sqrt5-\sqrt3}{\sqrt5+\sqrt3}=a+b\sqrt{15} \)
Express \(0.87\overline{591} \) in the form of \(\dfrac{p}{q} \)
Let
The square root of \(0.\overline4 \) is
If \(\sqrt{18225}=135 \) the value of \(\sqrt{182.25}+\sqrt{1.8225}+\sqrt{0.018225}+\sqrt{0.00018225} \) is
If \(2^{x-1}+2^{x+1}=640 \), the value of \(x= \)
The product of \((0.\overline{09}\times7.\overline3)= \)
\(\dfrac{1}{1+2^{x-y}}+\dfrac{1}{1+2^{y-x}}=? \)