Question

3√2 -2(√3+√2)+2(√3-√2) supra 5 - 3√2​

Answer 1

Explicație pas cu pas:

$\frac{3 \sqrt{2} - 2( \sqrt{3} + \sqrt{2} ) + 2( \sqrt{3} - \sqrt{2} )}{5 - 3 \sqrt{2} } = \\ \frac{3 \sqrt{2} - 2 \sqrt{3} + 2 \sqrt{2} + 2 \sqrt{3} - 2 \sqrt{2} }{5 - 3 \sqrt{2} } = \\ \frac{3 \sqrt{2} }{5 - 3 \sqrt{2} }$

Answer 2

[3√2 -2(√3+√2)+2(√3-√2)/(5 - 3√2​) =

= (3√2 - 2√3 - 2√2 + 2√3 - 2√2)/(5 - 3√2)

= - 2√3 - 2√2 + 2√3 - 2√2 se reduc

= 3√2/(5 - 3√2)