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Module 13

sqrt(5)*sqrt(2) sqrt(10). Combine terms in square root then multiply numbers together.
sqrt(2)*sqrt(10x) sqrt(20x). Use product rule to multiply the radicals 2 and 10x. Combine together.
sqrt(7/81) sqrt(7)/9. Apply quotient rule, suaring bottom and top, top cannot be simplified so it stays square root of 7 and bottom is simplified into 9. (square root of 81 is 9)
sqrt(27) 3sqrt(3). Factor using largest perfect square. Separate into two radical expressions. Simplify each racical expression.
cubed root of 56 2 times the cubed root of 7. Factor into largest cubed root. Remove cubed root from under racdical. Simplify.
3sqrt(27) 9sqrt(3). Use product rule. Factor inside of radical. Pull out the square root. Multiply it to the outside. simplify inside of radical if need be.
sqrt(54) 3sqrt(6). Product rule. Break up 56 into sqrt of 9 and sqrt of 3. Pull out perfect square.
sqrt(121x^3) 11x^2 sqrt(x). Produt rule for radicals. Rewrite as product whose factor is the largest perfect square factor. (sqrt121x^2)*sqrt(x). Simplify
4th root of x^8y^7 x^2y to the 4th root of y^3. Find largest 4th root(largest is x^2y^4). Apply product rule for radicals. Simplify.
6th root of 125/x^12 (6th root(125))/(x^2). Use quotient rule. NUmerator cannot be simplified so simplify the denomintaor.
Created by: dee13rose