How do you simplify #sqrt735/sqrt5#?
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We need to look for integer factors of 735 and with a bit of luck be able to cancel out the Suppose we had 2 unknown variables Notice that the sum of the digits in 735 is 15. As 15 is divisible by 3 then 735 is also divisible by 3 From the factor tree we observe that 735 is the product of Write We can take the
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To simplify ( \frac{\sqrt{735}}{\sqrt{5}} ), multiply the numerator and denominator by ( \sqrt{5} ) to rationalize the denominator:
[ \frac{\sqrt{735} \times \sqrt{5}}{\sqrt{5} \times \sqrt{5}} ]
This simplifies to:
[ \frac{\sqrt{3675}}{5} ]
[ \frac{\sqrt{5 \times 735}}{5} ]
[ \frac{\sqrt{5} \times \sqrt{735}}{5} ]
Therefore, ( \frac{\sqrt{735}}{\sqrt{5}} ) simplifies to ( \frac{\sqrt{5 \times 735}}{5} ), or ( \frac{\sqrt{3675}}{5} ).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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