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How do you simplify #4sqrt72 - 2sqrt48#?

Answer 1

Julia Adams

Refer to explanation

We see that

#4sqrt72-2sqrt48=4sqrt(2*6^2)-2sqrt(3*4^2)=4*6*sqrt2-2*4*sqrt3=24*sqrt2-8sqrt3#

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Answer 2

Eli Assouline

To simplify (4\sqrt{72} - 2\sqrt{48}), first, factor the numbers inside the square roots:

(72 = 2^3 \times 3^2)
(48 = 2^4 \times 3)

Next, simplify the square roots:

(4\sqrt{72} = 4 \times 6\sqrt{2} = 24\sqrt{2})
(2\sqrt{48} = 2 \times 4\sqrt{3} = 8\sqrt{3})

Finally, subtract to get the simplified expression:

(24\sqrt{2} - 8\sqrt{3})

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Answer from HIX Tutor

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.