Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

combine these radicals. $3\\sqrt{2} - 5\\sqrt{2}$ $-2$ $-3\\sqrt{2}$ $-…

Question

combine these radicals.
$3\sqrt{2} - 5\sqrt{2}$
$-2$
$-3\sqrt{2}$
$-2\sqrt{2}$
$0$

Explanation:

Step1: Factor out common radical

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

Step2: Subtract coefficients

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

Answer:

$-2\sqrt{2}$