How do you simplify radical expressions with variables?

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How do you simplify radical expressions with variables?

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Answer 1 · 2015-01-06T11:14:23

This is easy! If you want to multiply this are the rules: First coefficients are multiplied with each other and the sub-radical amounts each other, placing the latter product under the radical sign common and the result is simplified.

Let's go: $2sqrt5$ times $3sqrt10$

$2sqrt5 × 3sqrt10 = 2 × 3sqrt(5×10)=6sqrt50$

$= 6sqrt(2·5^2)$

$= 30sqrt2$

Now if you want to divide, then the coefficients are divided among themselves and sub-radical amounts each other, placing the latter quotient under the radical common and the result is simplified.

$2root3 (81x^7)$ by $3root3( 3x^2)$

$(2root3 (81x^7)) /(3root3 (3x^2)) = 2/3root3 ((81x^7)/(3x^2)) =2/3root3 (27x^5)$

$2/3 root3 (3^3·x^3·x^2) = 2xroot3 (x^2)$

I hope you can find it useful, and here is a link to solve this ones with different indices.

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How do you simplify radical expressions with variables?

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