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Surds-quiz

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\(\text{Simplify the surd: } \sqrt{50}\)

\(\text{Simplify the surd: } \sqrt{18}\)

Perform the operation: \( 2\sqrt{3} + 4\sqrt{3}\)

\(\text{Rationalize the denominator: } \frac{3}{\sqrt{5}}\)

\(\text{Simplify: } 5\sqrt{8} - 3\sqrt{2}\)

\(\text{Simplify the surd: } \sqrt{27}\)

\(\text{Simplify the surd: } \sqrt{32}\)

Perform the operation:

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

\(\text{Rationalize the denominator: } \frac{4}{\sqrt{7}}\)

\(\text{Simplify: } 3\sqrt{12} - 2\sqrt{3}\)

\(\text{Perform the operation: } 6\sqrt{7} - 3\sqrt{7}\)

\(\text{Rationalize the denominator: } \frac{5}{\sqrt{3}}\)

\(\text{Simplify: } 7\sqrt{28} + 4\sqrt{7}\)

\(\text{Simplify the surd: } \sqrt{45}\)

Expand and simplify: \(\left(3+\sqrt{5}\right)\left(3-\sqrt{5}\right)\)

\(\text{Evaluate: } \left(2+\sqrt{3}\right)\left(2-\sqrt{3}\right)\)

\(\text{Evaluate: } \left(4+\sqrt{7}\right)\left(4-\sqrt{7}\right)\)

\(\text{Evaluate: } \left(5+\sqrt{2}\right)\left(5-\sqrt{2}\right)\)

\(\text{Evaluate: } \left(3+\sqrt{11}\right)\left(3-\sqrt{11}\right)\)

\(\text{Evaluate: } \left(6+\sqrt{13}\right)\left(6-\sqrt{13}\right)\)

\(\text{Evaluate: } \frac{\sqrt{5}}{7-\sqrt{3}}\)

\(\text{Evaluate: } \frac{3+\sqrt{6}}{\sqrt{4}-\sqrt{2}}\)

\(\text{Evaluate: } \frac{6\sqrt{5}}{5-\sqrt{3}}\)

\(\text{Evaluate: } \frac{7\sqrt{2}}{4-\sqrt{3}}\)

\(Simplify:  \sqrt{250}\)

 

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