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5 root 12 + 4 root 12 - 3 root 18 +2root 75​

1 Answer

4 votes

Answer: 28
√(3) - 9
√(2)

Explanation:

5
√(12) + 4
√(12) - 3
√(18) + 2
√(75)

5
√(12) + 4
√(12) can be added together since they have the same radical, they will be treated as if you have 5 apples + 4 apples , which will be 9 apples

Therefore we have

9
√(12) - 3
√(18) + 2
√(75)


√(12) =
√(4) X
√(3) = 2
√(3)


√(18) =
√(9) X
√(2) = 3
√(2)


√(75) =
√(25) X
√(3) = 5
√(3)

Returning them back into the expression , we have

9(2
√(3)) - 3(3
√(2)) + 2 (5
√(3))

⇒ 18
√(3) - 9
√(2) + 10
√(3)

= 28
√(3) - 9
√(2)

answered
User Mohib Sheth
by
8.5k points

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