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• The financial industry uses rational exponents to compute interest, depreciation and inflation in areas like home buying.
• For example, to calculate the inflation of a home that increases in value from p1 to p2 over a period of n years, the annual rate of inflation (expressed as a decimal) is i = (p2/p1)^(1/n) -1.
• To calculate compound interest, the formula is F = P (1+i)^n , where F is the future value and P is the present value, i is the interest rate and n is the number of years. If you wanted to calculate the compound interest on $1,000 for 18 months at 5 percent, the formula would be F = 1000 (1+.05)^(3/2).
• Real World Examples of Radical ExpressionsRadical expressions are common geometry and trigonometry especially when calculating triangles. In the fields of carpentry and masonry, triangles often come into play when designing or constructing buildings that require angle measurements.The ratio of the sides of a 30°- 60°- 90° right triangle is 1:2:√3, and the ratio of the sides of a 45°- 45°- 90° right triangle is 1:1:√2.
• Within the field of electrical engineering, the use of radical expressions has to do with determining how much electricity is flowing through circuits. One of the simplest formulas in electrical engineering is for voltage, V = √PR, where P is the power in watts and R is the resistance in the measurement of ohms.