Question

rationalisation factor of √33+4√35

Answer 1

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$\sqrt{33} + 4 \sqrt{35} \\ \\ = \geqslant \sqrt{33} + 4 \sqrt{35} \times \sqrt{33} - 4 \sqrt{35} \\ \\ = \geqslant ( \sqrt{33} ) {}^{2} - (4 \sqrt{35} ) {}^{2} \\ \\ = \geqslant 33 - 16 \times 33 \\ \\ = \geqslant 33 - 528 \\ \\ = \geqslant - 495$