Rationalize the denominator and simplify 1Squareroot 5x Rati

Rationalize the denominator and simplify. 1/Squareroot 5x Rationalize the denominator. Squareroot 5 + Squareroot 2/Squareroot 5 - Squareroot 2

Solution

3) We have 1/(5x) = (5x)/[ (5x) (5x)] = (5x)/5x.

4) We have (5+2)/ (5-2)=[(5+2)(5+2)]/[(5-2)(5+2)] = [ ( 5)²+2*(5)(2)+(2)²]/[( 5)²-(2)²] = (5+210 +2)/(5-2) = (7+210)/3. [as (a+b)² = a² +2ab+b and (a+b)(a-b) = a² –b²]