The possible values of b are (a) 12, (b) 15 and (c) 30
The expression √6⋅√10 can be rewritten as √ab , where a and b are positive integers and a > 1 . What is the value of b?
The expression is given as:
√6 . √10 = √ab
Apply the law of indices
√(6 *10) = √ab
Evaluate the product
√60 = √ab
Express 60 as 2 * 30, 4 * 15 and 5 * 12.
So, we have:
√(2 * 30) = √(4 * 15) = √(5* 12) = √ab
By comparing the equations, we have:
b = 30, 15 and 12
Hence, the possible values of b are (a) 12, (b) 15 and (c) 30
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