Nakim simplified 3 times the square root of 2x plus x times the square root of 8x minus 5 times the square root of 18x and got -10x times the square root of 2x for an answer.
Part 1: Using complete sentences, explain what Nakim did wrong.
Part 2: Show all your work to simplify the expression.
(You can use "sqrt()" to show a square root. For example, 7 times the square root of a can be written as 7sqrt(a). )
Part 1: Using complete sentences, explain what Nakim did wrong.
Part 2: Show all your work to simplify the expression.
(You can use "sqrt()" to show a square root. For example, 7 times the square root of a can be written as 7sqrt(a). )
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Simplifying, we get
3sqrt(2x) + 2xsqrt(2x) - 15sqrt(2x)
2xsqrt(2x) - 12sqrt(2x) Which is the correct answer.
He subtracted to get -10sqrt(2x), which is wrong because they are not like terms.
3sqrt(2x) + 2xsqrt(2x) - 15sqrt(2x)
2xsqrt(2x) - 12sqrt(2x) Which is the correct answer.
He subtracted to get -10sqrt(2x), which is wrong because they are not like terms.
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Nakim forgot that in the second number, there was an x outside of the radical sign.
3 sqrt 2x + x sqrt 8x -5 sqrt 18x=
3 sqrt 2x +2x sqrt 2x -15 sqrt 2x
-12 sqrt 2x +2x sqrt 2x
3 sqrt 2x + x sqrt 8x -5 sqrt 18x=
3 sqrt 2x +2x sqrt 2x -15 sqrt 2x
-12 sqrt 2x +2x sqrt 2x