SOLUTION: Explain the process and show EACH step in the process of simplifying the following problems: a.(sqrt2 + 5)(sqrt2 - 3) b. sqrt5/sqrt8 c. (6 - sqrt20)/2

Algebra ->  Square-cubic-other-roots -> SOLUTION: Explain the process and show EACH step in the process of simplifying the following problems: a.(sqrt2 + 5)(sqrt2 - 3) b. sqrt5/sqrt8 c. (6 - sqrt20)/2       Log On


   

Question 39245: Explain the process and show EACH step in the process of simplifying the following problems:
a.(sqrt2 + 5)(sqrt2 - 3)
b. sqrt5/sqrt8
c. (6 - sqrt20)/2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a.(sqrt2 + 5)(sqrt2 - 3)
Use FOIL to get:
2+2sqrt2-15
=2sqrt2 - 13

b. sqrt5/sqrt8
Multiply numerator and denominator by sqrt2 to get:
sqrt(10)/4
c. (6 - sqrt20)/2
Divide each term be "2" to get:
3 - sqrt(5)
Cheers,
Stan H.