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Example Questions
Example Question #1762 : Psat Mathematics
Simplify:
Possible Answers:
Correct answer:
Explanation:
4√27 + 16√75 +3√12 =
4*(√3)*(√9) + 16*(√3)*(√25) +3*(√3)*(√4) =
4*(√3)*(3) + 16*(√3)*(5) + 3*(√3)*(2) =
12√3 + 80√3 +6√3= 98√3
Example Question #34 : Basic Squaring / Square Roots
Simplify:
Possible Answers:
Correct answer:
Explanation:
To simplify a square root, you can break the number down into its prime factors using a factor tree. The prime factors of 72 are . Let's take each piece separately.
The square root of can be simplified to be which is the same as .
The square root of is .
When you multiply together your answers,
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