1.

7. If x= 3+ V8, find the value of (1) x' +and (ii) x++ify by rationalizing the denominator 52+3.. 26 62 9,5.16+ V3 V6+39. Simplify, by rationalizing the denominator111 13-√ √ √ √ √ √ √ √5-2find the value of x² + y2 + xy.√2-1 V2+13+ 2√3-√211. If x=find the value of x² + y2.10. If x=V2+13-2V3+5-1312. If x=V5 + 3, find the value of x + y + xy.3 and15+ V3

Answer»

2V6/V2 + V3 + 6V2/ V6+V3 - 8V3/ V6 + V2;;; 2V6/ V2 +V3 × V2 - V3/ V2 -V3 =2V6(V2 - V3)/V2 -V3 = =2V12 - 2V18/ -1____(1); 6V2/ V6 + V3 x V6 - V3/ V6- V3 =6V2(V6 - V3)/( V6)^2 - (V3)^2 = 6V12 - 6V6/6-3= 6V6/3_(2); 8V3/ V6 +V2 x V6 - V2/ V6-V2 = 8V3( V6-V2)/ 6-2 = 8V18 - 8V6/6-2=8V12/4 = 2V12______________________(3), -2V6 +2V6 -2V12 =-2V12 = -2(2V3)= -4V3



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