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