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simplify square root of 512k to 2nd power
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\[\sqrt{512,000^{2}}=512,000\]
k being a variable
I think of 512k as meaning 512000. Are you positive that k is a variable, and not shorthand for 1000?
yes
k is variable
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sorry, if "k" is a variable, then 16k√2
All right, then, k is to be considered a variable. Which do you mean: \[(\sqrt{512k})^{2},or \sqrt{(512k)^{2}}, or\] are these the same?
the 2nd one
√ an ^2 cancel out=>512k
OK. Square 512k now. Once done, please find the square root of the result. Dalia's statement is valid; that method involves a lot less work.
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