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Evaluate √63− 4√7. i need help asap

User Seralize
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1 Answer

2 votes

Answer:
-√(7)

Negative square root of 7, or in shorthand, -sqrt(7)

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Step-by-step explanation:

Let's first simplify
√(63)

Note how 63 = 9*7, and 9 is the largest perfect square factor. This is to help simplify the root as such:


√(63) = √(9*7)\\\\√(63) = √(9)*√(7)\\\\√(63) = 3√(7)

Therefore, we can say,


√(63)-4√(7)\\\\3√(7)-4√(7)\\\\(3-4)√(7)\\\\-1*√(7)\\\\-√(7)\\\\

If you want, you can think of
x = √(7) to get


3√(7)-4√(7) = 3x-4x = -1x = -√(7)\\\\

User Jimmetry
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