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.Com
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)   (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.

RELATED QUESTIONS

Explain the process and show EACH step in the process of simplifying the following... (answered by Nate)
Explain the process and show EACH step in the process of simplifying the following... (answered by fractalier)
Explain the process and show EACH step in the process of simplifying the following... (answered by checkley71)
Express the complex numbers in standard form:... (answered by ikleyn)
if {{{a=sqrt3-sqrt2/sqrt3+sqrt2 & b=sqrt3+sqrt2/sqrt3-sqrt2}}} "find the value of... (answered by tommyt3rd)
SqRt5 - SqRt2 / SqRt3 - SqRt2 {{{(sqrt(5) - sqrt(2))/(sqrt(3) - sqrt(2))}}} This is... (answered by scianci)
I need to understand the process and show and explain EACH step in setting up and solving (answered by Nate)
Find the perimeter of the triangle: I will try to draw out the triangle for you: (answered by funmath)
I need help please. Simplify 5[sqrt2]/2-i by rationalizing the denominator. I... (answered by Alan3354)