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Cramer's Rule

72. Simplify ...

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72. Simplify (3+3)(2+2)

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3^{\frac{2}{3}} \times 7^{\frac{2}{3}}

Q. Simplify
(i)

(3 - \sqrt{11}) (3 + \sqrt{11})

(- 3 + \sqrt{5}) (- 3 - \sqrt{5})

{(3 - \sqrt{3})}^{2}

{(\sqrt{5} - \sqrt{3})}^{2}

(5 + \sqrt{7}) (2 + \sqrt{5})

(\sqrt{5} - \sqrt{2}) (\sqrt{2} - \sqrt{3})

Q. Simplify the following expressions:

(i)

{(\sqrt{3} + \sqrt{7})}^{2}

{(\sqrt{5} - \sqrt{3})}^{2}

{(2 \sqrt{5} + 3 \sqrt{2})}^{2}

Q. Simplify
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10 \sqrt{2} - 2 \sqrt{2} + 4 \sqrt{32}

\sqrt{48} - 3 \sqrt{72} - \sqrt{27} + 5 \sqrt{18}

\sqrt[3]{16} + 8 \sqrt[3]{54} - \sqrt[3]{128}

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Q. Simplify the following.

{[{(\frac{2}{3})}^{2}]}^{3} \times {(\frac{2}{3})}^{2} \div {(\frac{2}{3})}^{8}

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