Simplify: 2.520.722.72.5\frac{\sqrt{2.5^2-0.7^2}}{2.7-2.5}.

asked by guest
on Jan 28, 2025 at 3:27 pm



You asked:

Simplify the expression: 2.520.722.72.5\frac{\sqrt{{2.5}^{2} - {0.7}^{2}}}{2.7 - 2.5}

MathBot Answer:

Simplified:

2.520.722.72.5=12 \frac{\sqrt{{2.5}^{2} - {0.7}^{2}}}{2.7 - 2.5} = 12


(2+5110)2(7110)2(2+7110(2+5110))(710)2+2547101225449100710122544910015144251512\begin{aligned}\frac{\sqrt{\left(2 + 5 \cdot \frac{1}{10}\right)^{2} - \left(7 \cdot \frac{1}{10}\right)^{2}}}{\left(2 + 7 \cdot \frac{1}{10} - \left(2 + 5 \cdot \frac{1}{10}\right)\right)}\\\frac{\sqrt{- \left(\frac{7}{10}\right)^{2} + \frac{25}{4}}}{\frac{7}{10} - \frac{1}{2}}\\\frac{\sqrt{\frac{25}{4} - \frac{49}{100}}}{\frac{7}{10} - \frac{1}{2}}\\\frac{\sqrt{\frac{25}{4} - \frac{49}{100}}}{\frac{1}{5}}\\\frac{\sqrt{\frac{144}{25}}}{\frac{1}{5}}\\12\end{aligned}


Expanded:

2.520.722.72.5=12 \frac{\sqrt{{2.5}^{2} - {0.7}^{2}}}{2.7 - 2.5} = 12