Question

Multiply and simplify the
following:
sqrt(3) •(2 + sqrt (27))

Answer 1

The answer is 9+2√3.

Explanation:

By expanding it using the formula, √a × √b = √(a×b) :

√3×(2 + √27)

= (√3)(2) + (√3)(√27)

= 2√3 + √(3×27)

= 2√3 + √81

Next, is to simplify it :

2√3 + √81

= 2√3 + 9

= 9 + 2√3