Question 58

If $$x=1+\sqrt2+\sqrt3$$, then the value of $$x^2-2x-4$$ is

Solution

Given : $$x=1+\sqrt2+\sqrt3$$

=> $$x-1=\sqrt2+\sqrt3$$

Squaring both sides,

=> $$(x-1)^2=(\sqrt2+\sqrt3)^2$$

=> $$x^2+1-2x=2+3+2\sqrt6$$

=> $$x^2-2x+1-5=2\sqrt6$$

=> $$x^2-2x-4=2\sqrt6$$

=> Ans - (D)


Create a FREE account and get:

  • Free SSC Study Material - 18000 Questions
  • 230+ SSC previous papers with solutions PDF
  • 100+ SSC Online Tests for Free

cracku

Boost your Prep!

Download App