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Operations on Rational and Irrational Numbers

Write whether...

Question

Write whether the following are rational or irrational:

(4-√7)²

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Solution

(4-√7)²
expand,. (a-b)²=a²-2ab+b²

4²-2×4×√7+(√7)²
16-8√7+7
23-8√7 - this is irrational

so (4-√7)² is irrational

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