Simplify the following:
$(\sqrt{3}-\sqrt{2})^{2}$

  • A
    $9-6\sqrt{8}$
  • B
    $3-4\sqrt{6}$
  • C
    $7-2\sqrt{3}$
  • D
    $5-2\sqrt{6}$

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Similar Questions

Let $x$ be a rational number and $y$ be an irrational number. Is $xy$ necessarily irrational? Justify your answer with an example.

Insert a rational number and an irrational number between $2$ and $3$.

Write the following in decimal form and state what kind of decimal expansion each has:
$\frac{121}{400}$

Rationalise the denominator in each of the following and hence evaluate by taking $\sqrt{2}=1.414, \sqrt{3}=1.732$ and $\sqrt{5}=2.236,$ up to three decimal places.
$\frac{\sqrt{10}-\sqrt{5}}{2}$

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Find the value of $64^{-\frac{1}{3}}\left(64^{\frac{1}{3}}-64^{\frac{2}{3}}\right)$.

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