rationalize the denominator:- (2√5+3√2) / 2√5 - 3√2
Answers
Answered by
2
Answer:
19 + 6√10
Step-by-step explanation:
Mutiply both numerator and denominator by (2√5+3√2).
Now the equation is [(2√5+3√2)^2] / (2√5 - 3√2)*(2√5+3√2)
The denominator is of the form (a+b)(a-b) which equals a^2 - b^2.
So now the equation is [(2√5+3√2)^2] / [(2√5)^2 - (3√2)^2].
The numerator is of the form (a+b)^2 which equals a^2 + b^2 + 2ab
So now it is [(2√5)^2 + (3√2)^2 + 2*2√5*3√2] / [ 20 - 18 ]
= { 20 + 18 + 12*√2*√5 ] / 2
= (38 + 12√10) / 2
= (38/2) + [(12√10)/2]
= 19 + 6√10
Similar questions