# How do you multiply #sqrt(-10)*sqrt(-40)#?

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-20

And then use

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The product of √(-10) and √(-40) is equal to √(-10 * -40) which simplifies to √(400). The square root of 400 is 20. Therefore, the answer is 20.

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To multiply ( \sqrt{-10} ) and ( \sqrt{-40} ), you can simplify each square root separately and then multiply the results.

First, simplify ( \sqrt{-10} ):

[ \sqrt{-10} = \sqrt{-1 \times 10} = \sqrt{-1} \times \sqrt{10} = i \sqrt{10} ]

Next, simplify ( \sqrt{-40} ):

[ \sqrt{-40} = \sqrt{-1 \times 40} = \sqrt{-1} \times \sqrt{40} = i \sqrt{40} ]

Now, multiply ( i \sqrt{10} ) and ( i \sqrt{40} ):

[ (i \sqrt{10}) \times (i \sqrt{40}) = i^2 \times \sqrt{10} \times \sqrt{40} ]

Remember that ( i^2 = -1 ), so:

[ (i \sqrt{10}) \times (i \sqrt{40}) = -1 \times \sqrt{10} \times \sqrt{40} ]

[ = -\sqrt{10} \times \sqrt{40} ]

[ = -\sqrt{10 \times 40} ]

[ = -\sqrt{400} ]

[ = -20 ]

So, ( \sqrt{-10} \times \sqrt{-40} = -20 ).

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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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