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How do you simplify #sqrt63-2sqrt28+5sqrt7#?

Answer 1

Julia Adams

#4sqrt7#

#sqrt 63 -2sqrt28 +5sqrt7 #

# sqrt (3*3*7) -2sqrt(2*2*7) +5sqrt7 #

# 3sqrt 7 -2*2*sqrt7 +5sqrt7 #

# 3sqrt 7 -4sqrt7 +5sqrt7#

#sqrt7(3-4+5)#

#4sqrt7 color(white)(00)"[Ans]"#

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Answer 2

Isaiah Anthony

To simplify the expression sqrt63 - 2sqrt28 + 5sqrt7, we can break down each term into its simplest form.

First, let's simplify sqrt63. We can factor 63 into its prime factors: 3 * 3 * 7. Since there is a pair of 3's, we can take them out of the square root, resulting in 3sqrt7.

Next, let's simplify 2sqrt28. We can factor 28 into its prime factors: 2 * 2 * 7. Again, since there is a pair of 2's, we can take them out of the square root, resulting in 2 * 2sqrt7, which simplifies to 4sqrt7.

Lastly, we have 5sqrt7, which is already in its simplest form.

Combining the simplified terms, we have 3sqrt7 - 4sqrt7 + 5sqrt7. Since all the terms have the same square root, we can combine them by adding or subtracting the coefficients. In this case, 3 - 4 + 5 equals 4.

Therefore, the simplified expression is 4sqrt7.

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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.