How do you simplify #2sqrt50+3sqrt18-sqrt32#?

Answer 1

Savannah Anderson

#color(magenta)(15sqrt2#

#2sqrt50+3 sqrt 18-sqrt 32#

#:.=2 sqrt(2*5*5)+3 sqrt(2*3*3)-sqrt(2*2*2*2*2)#

#:.=5*2 sqrt 2+3*3 sqrt 2-2*2 sqrt 2#

#:.=10 sqrt2+9 sqrt2-4 sqrt 2#

#:.=color(magenta)(15 sqrt2#

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Answer 2

Jace Anderson

To simplify the expression 2√50 + 3√18 - √32, we can simplify each square root separately and then combine like terms.

First, let's simplify the square roots: √50 = √(25 * 2) = 5√2 √18 = √(9 * 2) = 3√2 √32 = √(16 * 2) = 4√2

Now, substitute these simplified square roots back into the original expression: 2√50 + 3√18 - √32 = 2(5√2) + 3(3√2) - 4√2

Next, combine like terms: 2(5√2) + 3(3√2) - 4√2 = 10√2 + 9√2 - 4√2

Finally, simplify the expression further: 10√2 + 9√2 - 4√2 = (10 + 9 - 4)√2 = 15√2

Therefore, the simplified form of 2√50 + 3√18 - √32 is 15√2.

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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.