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6 July, 06:32

If √6x

can be simplified to 3√10

, what is the value of x?

A) 5

B) 15

C) 45

D) 90

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Answers (1)
  1. 6 July, 06:51
    0
    B) 15

    Step-by-step explanation:

    sqrt (6x) = 3 sqrt (10)

    Square each side

    (sqrt (6x)) ^2 = (3 sqrt (10)) ^2

    Remember (ab) ^2 = a^2 b^2

    6x = (3^2) sqrt (10)) ^2

    6x = 9 * 10

    6x = 90

    Divide each side by 6

    6x/6 = 90/6

    x = 15
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