How do you simplify the expression $5 sqrt(x^2)$ ?

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Answer 1 · 2017-03-07T23:17:43

$5sqrt(x^2) = 5x$ See a solution process below using rules of radicals and exponents:

First, use this rule of radicals to rewrite this expression:

$root(color(red)(n))(x) = x^(1/color(red)(n))$

$5sqrt(x^2) = 5root(color(red)(2))(x^2) = 5(x^2)^(1/color(red)(2))$

Next, use this rule of exponents to further simplify:

$5(x^color(red)(2))^color(blue)(1/2) = 5x^(color(red)(2) xx color(blue)(1/2)) = 5x^1$

Now, we can complete the simplification using this rule of exponents:

$a^color(red)(1) = a$

$5x^color(red)(1) = 5x$

How do you simplify the expression 5 sqrt(x^2)5 sqrt(x^2)?