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Mathematics 17 Online
OpenStudy (anonymous):

Rationalize the denominator of 8 over quantity of 7 minus square root of 6

OpenStudy (mathstudent55):

To rationalize a denominator, multiply it by its conjugate: If you have a + sqrt(b) multiply it by a - sqrt(b) Of course if since you're dealing with a fraction, you'll have to multiply the numerator by the same thing.

OpenStudy (mathstudent55):

|dw:1354576015814:dw| Now multiply the numerators together and the denominators together.

OpenStudy (anonymous):

56 plus square root of 6 over 43?

OpenStudy (mathstudent55):

Distribute the 8 in the numerator, so it's 56 plus 8 sqrt(6). That's the numerator

OpenStudy (anonymous):

56 plus 8 square root of 6 over 43

OpenStudy (mathstudent55):

The denominator is 7 x 7 - sqrt(6) x sqrt(6) = 49 - 6, not 49 - 36

OpenStudy (mathstudent55):

right

OpenStudy (anonymous):

thanks can u help with the next one

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