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Square Roots - Simplifying in Fractions










































How do you simplify the following equation -- it's adding fractions

the square root of 7 as numerator over the square root of 2 (denominator) and ADD to the following:

the square root of 2 as numerator over the square root of 7 as denominator

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Mar 28, 2012
Square Roots - Simplifying in Fractions
by: Staff


Question:

How do you simplify the following equation -- it's adding fractions

the square root of 7 as numerator over the square root of 2 (denominator) and ADD to the following:

the square root of 2 as numerator over the square root of 7 as denominator


Answer:

[(√7) / (√2)] + [(√2) / (√7)]

To add these fraction they must have a common denominator

= [(√7) / (√2)] * [(√7) / (√7)] + [(√2) / (√7)] * [(√2) / (√2)]

= [(√7) * (√7)] / [(√2) * (√7)] + [(√2) * (√2)] / [(√2) * (√7)]

= [√(7*7)] / [√(2*7)] + [√(2*2)] / [√(2*7)]

= 7 / [√(14)] + 2 / [√(14)]

= (7 + 2) / [√(14)]

= 9 / √(14)

>>> up to this point the answer is: 9 / √(14)


However, if your teacher also wants you to rationalize the denominator, this is the approach you can use:

9 / √(14)

= [9 / √(14)] * [√(14) / √(14)]

= [9 * √(14) / [√(14) * √(14)]

= [9 * √(14) / [√(14 * 14)]

= [9 * √(14) / 14

= [9√(14)] / 14

>>> the final answer is: [9√(14)] / 14



Thanks for writing.

Staff
www.solving-math-problems.com



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