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GREYUIT [131]
3 years ago
13

Determine if 3√10 /4 is in simplest form. if the expression is not in simplest form explain why? HELP PLEASE

Mathematics
1 answer:
emmasim [6.3K]3 years ago
7 0

The notation in its current form isn't entirely clear.

Did you mean to write \frac{3\sqrt{10}}{4}? The 4 isn't in the square root.

If so, then the expression is in simplest form because we cannot simplify \sqrt{10} any further (note how 10 doesn't have any perfect square factors other than 1).

Also, the 3/4 portion is fully reduced already.

------------------------

Or,

Did you mean to write 3\sqrt{\frac{10}{4}} ? This time the 4 is inside the square root.

If so, then we can simplify like this

3\sqrt{\frac{10}{4}}\\\\\frac{3\sqrt{10}}{\sqrt{4}}\\\\\frac{3\sqrt{10}}{2}\\\\

This means that 3\sqrt{\frac{10}{4}}=\frac{3\sqrt{10}}{2}\\\\

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