Physics & Maths Tutoring

Do this square root using pencil and paper only.

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Warm-up

The difference of two squares
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The Problem

$\sqrt{666^{2} - 665^{2}}$

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Solution:

= \sqrt{(666 + 665) (666 - 665)}

= \sqrt{1331}

= \sqrt{11 \times 11 \times 11}

= 11 \sqrt{11}

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Further Reading:

Pascal's triangle and the powers of 11
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IOP

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