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How do you simplify #(10 sqrt27) - (4 sqrt12)#?

Answer 1

Nathan Axel

#=10sqrt(3^2xx3)-4xxsqrt(2^2xx3)=30sqrt3-8sqrt3=22sqrt3#

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Answer 2

Savannah Anderson

To simplify the expression (10√27) - (4√12), we can simplify the square roots separately and then subtract the simplified terms.

First, let's simplify the square root of 27. We can break it down into its prime factors: 27 = 3 × 3 × 3. Since there are three 3's, we can take one out of the square root, leaving us with 3√3.

Next, let's simplify the square root of 12. We can break it down into its prime factors: 12 = 2 × 2 × 3. Since there are two 2's, we can take one out of the square root, leaving us with 2√3.

Now, we can substitute these simplified terms back into the original expression: (10√27) - (4√12) becomes 10(3√3) - 4(2√3).

Finally, we can simplify further by multiplying the coefficients and combining like terms: 30√3 - 8√3. This gives us the final simplified expression of 22√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.