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Using Pythagoras's theorem to calculate the diagonal of a rectangle. Useful if you want to know if you can turn a table around in a room.

Or, as happened to someone who will remain anonymous, whether you can put up a wardrobe that has been assembled on the floor of a room. No, it was not me and no, the wardrobe could not be put up - it had to be taken apart and put together in position.

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Q: What are some real life applications of solving radical equations?
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