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

Answer:

A. -2√2

Step-by-step explanation:

Given expression is,

$3\sqrt{2}-5\sqrt{2}$

By the converse of distributive property,

$=\sqrt{2}(3-5)$

$=\sqrt{2}(-2)$     ( By subtracting )

$=-2\sqrt{2}$       ( By commutative property of multiplication )

$\implies 3\sqrt{2}-5\sqrt{2}=-2\sqrt{2}$

Option A is correct.