Question

1.) Combine the following a.) 2√3 + 7√3 − 2√3 b.) 3√2 − 2√3 + 4√2 + 5√3 c.) √8 − √18 + √32 − √50 d.) 3√2 ∙ 4√2

Answer 1

Answer and Step-by-step explanation:

a). All of them have the same root so we can sum them up.

= 2 + 7 + 2 √3

= 11 √3

b) We sum or sustract the ones that have the same root.

= (3 + 4 √2) (-2 + 5 √3)

= 7 √2 + 3 √3

c) We solve the roots.

= 2√2 - √2 × 3 + 4√2 - √2 × 5

= - 2√2

d) We multiply them because they have the same root.

= 4 × 2 √2

= 16√2