Two marks example problems II — task. Mathematics State Board, Class 9.

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1. (i) Add \(3 \sqrt{7}\) and \(5 \sqrt{7}\). Check whether the sum is rational or irrational.

(ii) Subtract \(4\sqrt{5}\) from \(7\sqrt{5}\). Is the answer rational or irrational?

2. Simplify the following:

(i) \(\sqrt{63} - \sqrt{175} + \sqrt{28}\) \(=\)

(ii)

2 \sqrt[3]{40} + 3 \sqrt[3]{625} - 4 \sqrt[3]{320}

\(=\)

i \sqrt[i]{i}

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6. Two marks example problems II