Question

simlify (2√2-5)^2+(3√2+√3)^2-(√2-1)^2

Answer 1

${( 2 \sqrt{2} - 5) }^{2} + {(3 \sqrt{2} + \sqrt{3}) }^{2} - {( \sqrt{2} - 1)}^{2} \\ = 8 + 25 - 20 \sqrt{2} + 18 + 3 + 6 \sqrt{6} - 3 + 2 \sqrt{2} \\ = 51 - 18 \sqrt{2} + 6 \sqrt{6}$
hope it helps