Solve a surd ( 5-sqrt2)²?
2 Answers
Apr 12, 2018
Explanation:
#"note that "sqrtaxxsqrta=a#
#(5-sqrt2)^2=(5-sqrt2)(5-sqrt2)#
#"expand the factors using FOIL"#
#rArr(5-sqrt2)(5-sqrt2)#
#=25-5sqrt2-5sqrt2+(sqrt2xxsqrt2)#
#=25-10sqrt2+2=27-10sqrt2#
Apr 13, 2018
Explanation:
Multiply each term:
Collecting like terms: