# How do you simplify #sqrt35/sqrt14#?

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To simplify sqrt35/sqrt14, we can rationalize the denominator by multiplying both the numerator and denominator by sqrt14. This gives us sqrt35 * sqrt14 / sqrt14 * sqrt14. Simplifying further, we have sqrt(35 * 14) / 14. The square root of 35 times 14 is equal to the square root of 490. Therefore, the simplified form of sqrt35/sqrt14 is sqrt490/14.

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To simplify ( \frac{\sqrt{35}}{\sqrt{14}} ), we can rationalize the denominator by multiplying both the numerator and denominator by ( \sqrt{14} ).

This gives us:

[ \frac{\sqrt{35}}{\sqrt{14}} \times \frac{\sqrt{14}}{\sqrt{14}} = \frac{\sqrt{35} \times \sqrt{14}}{\sqrt{14} \times \sqrt{14}} ]

[ = \frac{\sqrt{35 \times 14}}{14} ]

[ = \frac{\sqrt{490}}{14} ]

[ = \frac{\sqrt{49 \times 10}}{14} ]

[ = \frac{\sqrt{49} \times \sqrt{10}}{14} ]

[ = \frac{7 \sqrt{10}}{14} ]

[ = \frac{7}{2} \sqrt{10} ]

So, ( \frac{\sqrt{35}}{\sqrt{14}} ) simplifies to ( \frac{7}{2} \sqrt{10} ).

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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.

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