SOLUTION: Rationalize each denominator, simplify.
15 divided by the square root of 7 plus 2
AND
2 divided by the square root of x+2 minus the square root of x
Please help
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: Rationalize each denominator, simplify.
15 divided by the square root of 7 plus 2
AND
2 divided by the square root of x+2 minus the square root of x
Please help
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Question 677608: Rationalize each denominator, simplify.
15 divided by the square root of 7 plus 2
AND
2 divided by the square root of x+2 minus the square root of x
Please help!! Thankyou kindly Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! 15 divided by the square root of 7 plus 2
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15/(sqrt(7)+2)
Multiply numerator and denominator by (sqrt(7)-2) to get:
= [15(sqrt(7)-2)]/[7-4]
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= 5sqrt(7)-10
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AND
2 divided by the square root of x+2 minus the square root of x
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2/(sqrt(x+2)-sqrt(x))
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Multiply numerator and denominator by sqrt(x+2)+ sqrt(x) to get:
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[2[sqrt(x+2)+sqrt(x)] / [(x+2) - x]
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= sqrt(x+2)+sqrt(x)
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Cheers,
Stan H.
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