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Help simplifying radicals with variables
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\[\sqrt{90xy ^{6}}\]
My work: \[\sqrt{90xy ^{6}} = \sqrt{5} * \sqrt{18} * \sqrt{x} * idk\]
sqrt90 = sqrt9 * sqrt10 = 3 sqrt10
x^3 * x^3 = x^6
so the square rot of x^6 = ?
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i struggle with the equation editor!!
\[\sqrt{90xy ^{6}}= \sqrt{9} * \sqrt{10} \sqrt{x} *\sqrt{y ^{6}}\] \[= 3 * \sqrt{10} * \sqrt{x} * y ^{3}\] = \[3y ^{3}\sqrt{10x}\]
I'm supposed to show my work. Is this right?
yes that is correct
good job
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to find the square root of x^6 we could also write it as an exponent square root = ^1.2 (x^6)^(½) = x^(6* ½) = x^3
* typo square root = ^ 1/2
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