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Can you simplify this without using a calculator:

a.    √72 + 2√8 - √512

b.    [2^(x-3) - 3.2^(x-1)] / 2^(x-2)
in Mathematics by Diamond (39,246 points) | 27 views

1 Answer

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a.    √72 + 2√8 - √512

= 6√2 + 4√2 - 16√2

= -6√2

b.    [2^(x-3) - 3.2^(x-1)] / 2^(x-2)

= (2^x)(2^-3 - 3.2^-1) / (2^x . 2^-1)

= ((1/8) - (3/2)) / -11/2
by Diamond (39,246 points)

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