# 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

### Comments for Square Roots - Simplifying in Fractions

 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