<prompt> Kama x sqrtx2 - 1 1x - sqrtx2 - 1 20, basi kupata x2 sqrtx4 - 1 1x2 sqrtx4 - 1.  <response>: Tunaanza kwa rationalizing jina la pili: 1x - sqrtx2 - 1 x sqrtx2 - 1 x2 - x2 - 1 x sqrtx2 - 1 2x - sqrtx2 - 1 Hivyo awali equation inakuwa: x sqrtx2 - 1 x sqrtx2 - 1 2x - sqrtx2 - 1 20, ambayo simplifies kwa: 2x 2 sqrtx2 - 1 20, au sawa: x sqrtx2 - 1 10. squaring, tunapata pande: x2 - 1 100 - 20x x2 - 1, ambayo hutoa x1 10x20. Sasa tunaweza kushughulikia shauku ya x2 - x2 - x2 - x2 - x2 - x2 - x4 - x2 - x4 - x4 - x4 - x4 - x2 - x4 - x4 - x2 - x4 - x4 - x4 10x - x2 - x4 - x4 - x4 - x4 - x2 - x4 - x4 - x4 10x - x2 - x4 - x4 - x4 - x4 - x4 - x4 - x2 - x4 - x4 - x4 10x - x2 - x2 - x4 - x4 - x4 - x4 - x4 - x4 - x4 - x4 10x - x2 - x2 - x2 - x4 - x4 - x4 - x4 - x4 - x4 10x - x2 - x2 10 - x2 - x2 - x4 - x2 - x4 - x4 - x2 10 - x2 - x2 10 - x2 x2 - x2 10 - x2 10 - x2 x2 - x2 10 x2 - x2 10 x2 - x2 10 x2 10 x2 10 x2 10 x2 10 x - x2 10 x2 10 x2 10 x - x2 10 x2 10 x2 10 x - x2 10 x2 10 x2 10 x 