SOLUTION: Simplify and express your answer with positive exponents. Evaluate or simplify the numerical expressions. 11^1/2-11^3 Combine sqrt(90)-sqrt(10) Divide and simplify. Assume

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify and express your answer with positive exponents. Evaluate or simplify the numerical expressions. 11^1/2-11^3 Combine sqrt(90)-sqrt(10) Divide and simplify. Assume       Log On


   

Question 490985: Simplify and express your answer with positive exponents. Evaluate or simplify the numerical expressions.
11^1/2-11^3
Combine
sqrt(90)-sqrt(10)
Divide and simplify. Assume that all variables represent positive numbers
sqrt(16/36)
Simplify by rationalizing the denominator
y/sqrt(7)+sqrt(3)

Answer by ccs2011(207) About Me  (Show Source):
You can put this solution on YOUR website!
--> sqrt%2890%29+-+sqrt%2810%29
--> sqrt%289%2A10%29+-+sqrt%2810%29
Whenever there is multiplication or division inside radical, it is equivalent to multiplying or dividing 2 separate radicals
--> sqrt%289%29%2Asqrt%2810%29+-+sqrt%2810%29
--> 3sqrt%2810%29+-+sqrt%2810%29
Treat radicals like variables when adding like terms, add the coefficients but leave the radical alone
--> 2sqrt%2810%29
-------------------------------------------------
--> sqrt%2816%2F36%29
--> sqrt%2816%29%2Fsqrt%2836%29
--> 4%2F6
--> 2%2F3
-------------------------------------------------
--> y%2F%28sqrt%287%29%2Bsqrt%283%29%29
Multiply top and bottom by conjugate to eliminate radicals in denominator
-->
--> y%28sqrt%287%29-sqrt%283%29%29%2F4