Question 77655
Question:



SQRT of 2 - SQRT of 8



ANSWER:

SQRT of 2 - SQRT of 8 = (SQRT of 2) - SQRT of ( 2 * 4 ), 8 can be written as 4*2



                      = (SQRT of 2) - (SQRT of 2 * SQRT of 4)



                      = (SQRT of 2) -  2 * (SQRT of 2) becoz square root of 4  is 2 


                      = (SQRT of 2)( 1 - 2 ), here SQRT of 2 is common in both terms so take the common term outside.



                      = (SQRT of 2)(-1)



                      = -(SQRT of 2)




Hope you understood.


Regards.


Praseena.