Question

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Answer 1

5. a) √11 * √5/√1375 = √11 * √5/√5³ * √11 = √5/5√5 = 1/5
    b) √91/√7³ * √13 = √7 * √13/7√7 * √13 = 1/7
    c) √5³ * √7²/√11² * √5 = 5√5 * 7/11 * √5 = 5 * 7/11 = 35/11
    d) √7⁵¹ * √196/√7⁴⁸ * √14 * √2 = (√7²⁵)² * √7 * √2² * √7²/(√7²⁴)² * √7 * √2 * √2 =
        7²⁵ * √7 * 2 * 7/7²⁴ * √7 * 2 = 7¹ * 7 = 49
6. a) (√9 + 16) = √25 = 5
    b) (√9² + 12²) = (81 + 144) = √225 = 15
    c) (√25 - 16) = √9 = 3
    d) (√15² - 12²) = (√225 - 144) = √81 = 9