Dividing by a fraction is the same as multiplying by its reciprocal, so you can flip every "1/25" except the first, then you replace the division symbol with a multiplication symbol. Now you have:
√[(1/25)•25•25•25•25]
The first two terms cancel out and become 1, so you're left with this:
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So what you have is this:
ReplyDelete√[(1/25)÷(1/25)÷(1/25)÷(1/25)÷(1/25)]
Dividing by a fraction is the same as multiplying by its reciprocal, so you can flip every "1/25" except the first, then you replace the division symbol with a multiplication symbol. Now you have:
√[(1/25)•25•25•25•25]
The first two terms cancel out and become 1, so you're left with this:
√(25^3), or √(25•25•25)
This reduces to
25√25, and as we know, √25 = 5, so
25•5 = 125.
QED.