$\sqrt{(5x - 2)2}$

asked by guest
on Nov 15, 2024 at 1:57 am



You asked:

Evaluate the expression: \(\sqrt{\left(5 x - 2\right) \cdot 2}\)

MathBot Answer:

Evaluated



\(\displaystyle \sqrt{\left(5 x - 2\right) \cdot 2} = \sqrt{10 x - 4} \)

Expanded

\[\sqrt{\left(5 x - 2\right) \cdot 2} = \sqrt{10 x - 4}\]

Roots

\[\sqrt{\left(5 x - 2\right) \cdot 2} = i \sqrt[4]{\left(10 \operatorname{re}{\left(x\right)} - 4\right)^{2} + 100 \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(10 \operatorname{im}{\left(x\right)},10 \operatorname{re}{\left(x\right)} - 4 \right)}}{2} \right)} + \sqrt[4]{\left(10 \operatorname{re}{\left(x\right)} - 4\right)^{2} + 100 \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(10 \operatorname{im}{\left(x\right)},10 \operatorname{re}{\left(x\right)} - 4 \right)}}{2} \right)} \approx 3.16227766016838 i \left(\left(\operatorname{re}{\left(x\right)} - 0.4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{0.25} \sin{\left(\frac{\operatorname{atan_{2}}{\left(10 \operatorname{im}{\left(x\right)},10 \operatorname{re}{\left(x\right)} - 4 \right)}}{2} \right)} + 3.16227766016838 \left(\left(\operatorname{re}{\left(x\right)} - 0.4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{0.25} \cos{\left(\frac{\operatorname{atan_{2}}{\left(10 \operatorname{im}{\left(x\right)},10 \operatorname{re}{\left(x\right)} - 4 \right)}}{2} \right)}\]\[\sqrt{\left(5 x - 2\right) \cdot 2} = i \left(- \sqrt[4]{\left(10 \operatorname{re}{\left(x\right)} - 4\right)^{2} + 100 \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(10 \operatorname{im}{\left(x\right)},10 \operatorname{re}{\left(x\right)} - 4 \right)}}{2} \right)}\right) - \sqrt[4]{\left(10 \operatorname{re}{\left(x\right)} - 4\right)^{2} + 100 \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(10 \operatorname{im}{\left(x\right)},10 \operatorname{re}{\left(x\right)} - 4 \right)}}{2} \right)} \approx - 3.16227766016838 i \left(\left(\operatorname{re}{\left(x\right)} - 0.4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{0.25} \sin{\left(\frac{\operatorname{atan_{2}}{\left(10 \operatorname{im}{\left(x\right)},10 \operatorname{re}{\left(x\right)} - 4 \right)}}{2} \right)} - 3.16227766016838 \left(\left(\operatorname{re}{\left(x\right)} - 0.4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{0.25} \cos{\left(\frac{\operatorname{atan_{2}}{\left(10 \operatorname{im}{\left(x\right)},10 \operatorname{re}{\left(x\right)} - 4 \right)}}{2} \right)}\]

+ Submit Question