Answer: Simplifying the square roots and adding the similar square roots the answer is option c. 6 square root of 5 end root minus 4 square root of 7
Solution:
3√5-2√7+√45-√28
45=9*5 and 28=4*7. Replacing in the equation above:
3√5-2√7+√(9*5)-√(4*7)
Using √(a*b)=√a√b
3√5-2√7+√9√5-√4√7
√9=3 and √4=2. Replacing in the equation above:
3√5-2√7+3√5-2√7
Adding similar square roots:
(3+3)√5+(-2-2)√7=
(6)√5+(-4)√7=
6√5-4√7
