Question

7. Rationalise the denominator and simplify.
3/√3-√2+√5
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Answer 1

Answer:

Hey mate, here's your answer

$3 \sqrt{3} + 3 \sqrt{2} + 3 \sqrt{5} \div 6 + 2 \sqrt{10}$

Step-by-step explanation:

$3 \div ( \sqrt{3)} - ( \sqrt{2} + \sqrt{5} ) \times (( \sqrt{3)} + ( \sqrt{2} + \sqrt{5} )) \div \\ ( (\sqrt{3} + ( \sqrt{2} + \sqrt{5} ))$

$3(3 + \sqrt{2} + \sqrt{5} ) \div \\ ( \sqrt{3}) {}^{2} - ( \sqrt{2} + \sqrt{5}) {}^{2}$

$(3 \sqrt{3} + 3 \sqrt{2} + 3 \sqrt{5} ) \div \\ 3 - 2 + 5 + 2 \sqrt{10}$

$(3\sqrt{3}+3\sqrt{2}+3\sqrt{5}) \div (6 + 2 \sqrt{10})$

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