(ii) 3√3 + 2√27 + 7/√3
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Step-by-step explanation:
3√3 + 2√27 + 7 / √3
= 3√3 + 2√(3)^2 × 3 + 7 / √3
= 3√3 + 2 × 3 √3 + 7 / √3
= 3√3 + 6√3 + 7 / √3
= 9√3 + 7 / √3
= 9√3 × √3 + 7 / √3
= 9 (√3)^2 + 7 / √3
= 9 × 3 + 7 / √3
= 27 + 7 / √3
= 34 / √3
Rationalize the denominator
= 34 / √3 × √3 / √3
= 34 × √3 / ( √3 ) ^2
= 34√3 / 3 is the answer.
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