Question

Simplify and examine whether root 3 -root 7 square

Answer 1

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Answer 2

Answer:

$( \sqrt{3} - \sqrt{7} ) {}^{2} = ( \sqrt{3} ) {}^{2} + ( \sqrt{7} ) {}^{2} - 2 \times \sqrt{3} \times \sqrt{7} \\ = 3 + 7 - 2 \sqrt{21} \\ = 10 - 2 \sqrt{21}$