Question

simplify 2 root 3 + 27​

Answer 1

Answer:

using the

law of radicals

∙x√a×√b⇔√ab

⇒√27=√9×3=√9×√3=3√3

⇒2√27−√3

=2×3√3−√3

=6√3−√3=5√3

Answer 2

We need to recall the following laws to solve the problem.

1. Law of radicals

a. $\sqrt{a}\sqrt{b} =\sqrt{ab}$

b. $\sqrt[n]{a^n}=a$

2. Distributive law:

$ab+ac=a(b+c)$

Given problem is 2√3 + √27

We have to simplify the given problem.

then first apply the radicals laws

2√3 + √27 = 2√3 + √( 3*3*3)

                  = 2√3 + 3√( 3)

                 = 5√3      [ By  distributive law }

Hence the simplify value of 2√3 + √27 is  5√3