Question

Simplify −3√27−2√2−3√45−√18 Work Needed

Answer 1

-9√3 - 5√2 - 9√5

Explanation:

-3√27 = -3√9x3 = -3x3√3 = -9√3

2√2 = 2√2

3√45 = 3√9x5 = 3x3√5 = 9√5

√18 = √9x2 = 3√2

-9√3 - 2√2 - 9√5 - 3√2 = -9√3 - 5√2 - 9√5

Answer 2

Explanation:

27 = 3 * 3 * 3

-3√27 = -3*3√3 = -9√3

Index of the radical is 2. So, after prime factoring, for each two of same number, pull one outside.

-3√45= -3√3*3*5 = -3*3√5 = -9√5

-√18 = -√2*3*3 = -3√2

-3√27 - 2√2 - 3√45 - √18 = -9√3 - 2√2 -9√5 -3√2

Now combine like terms

= -9√3 - 9√5 -2√2 - 3√2

= -9√3 - 9√5 - 5√2