Question

Combine these radicals.

3 √2 - 5 √2

A. -2 √2
B. -2
C. 0
D. -3 √2

Answer 1

A. Since the radicals are the same (√2) all you have to do is subtract 3-5 and keep the radicals. So, -2√2.

Answer 2

A. -2√2

Explanation:

Given expression is,

`3√(2)-5√(2)`

By the converse of distributive property,

`=√(2)(3-5)`

`=√(2)(-2)` ( By subtracting )

`=-2√(2)` ( By commutative property of multiplication )

`\implies 3√(2)-5√(2)=-2√(2)`

Option A is correct.