How do you simplify 2sqrt276 - 4sqrt32√276−4√3?

1 Answer
smendyka
Apr 20, 2017

See the solution process below:

Explanation:

We can rewrite this expression using this rule for radicals:

sqrt(a * b) = sqrt(a) * sqrt(b)√a⋅b=√a⋅√b

2sqrt(276) - 4sqrt(3) => 2sqrt(3 * 92) - 4sqrt(3) => 2sqrt(3)sqrt(92) - 4sqrt(3)2√276−4√3⇒2√3⋅92−4√3⇒2√3√92−4√3

We can now factor a 2sqrt(3)2√3 from each term giving:

2sqrt(3)sqrt(92) - 4sqrt(3) => 2sqrt(3)sqrt(92) - (2 * 2sqrt(3)) =>2√3√92−4√3⇒2√3√92−(2⋅2√3)⇒

2sqrt(3)(sqrt(92) - 2)2√3(√92−2)

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