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damaskus [11]
2 years ago
15

What values of a and b make the equation true square root of 648 equals square root of 2^a times 3^b

Mathematics
1 answer:
maw [93]2 years ago
3 0

In symbols, sqrt(648) = 2^a * 3^b.

One way in which to tackle this is to factor *648.

648 = 81*8.

Note that 81 = 3^4 and that 8 = 2^3.

Therefore, a = 4 and b = 3.

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