Question

Simplify as far as possible without a calculator.
3√7(2√2+4√7)

Answer 1

6√14 + 84

or

106.449944321

Explanation:

have √7 behave like a variable like x

have √4 behave like a variable like y

3√7(2√2+4√7)

(3√7*2√2)+ (3√7*4√7)

6√14 + (12*7)

6√14 + (84)

6√14 + (6 * 14)

Answer 2

`6 √(14) + 84`

Explanation:

distribute 3√7 by multiplying to each term In parenthesis

3√7×2√2+3√7×4√7

6√14+12√49

6√14+12(7)

6√14+84