Simplify the following expressions-i 4-73-2ii 3-3 5-2iii 5-2 3-5

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Simplify the ...

Question

Simplify the following expressions:

(i) $(4 + \sqrt{7}) (3 + \sqrt{2})$

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

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

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Simplify the following expressions :

(i) $(4 + \sqrt{7}) (3 + \sqrt{2})$

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

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

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

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

(\sqrt{8} - \sqrt{2}) (\sqrt{8} + \sqrt{2})

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

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

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

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

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

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

Evaluate:

$(i) 5^{- 2} (i i) (- 3)^{- 2} (i i i) {(\frac{1}{3})}^{- 4} (i v) {(\frac{- 1}{2})}^{- 1}$

Simplify :

(i) $\frac{3 \sqrt{2} - 2 \sqrt{3}}{3 \sqrt{2} + 2 \sqrt{3}} + \frac{\sqrt{12}}{\sqrt{3} - \sqrt{2}}$

(ii) $\frac{7 + 3 \sqrt{5}}{3 + \sqrt{5}} - \frac{7 - 3 \sqrt{5}}{3 - \sqrt{5}}$

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