Simplify 3 square root of 5 end root minus 2 square root of 7 end root plus square root of 45 end root minus square root of 28.

a.2 square root of 12
b.2 square root of 2
c.6 square root of 5 end root minus 4 square root of 7
d. 6 square root of 10 end root minus 4 square root of 14

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

21

step-by-step explanation: