Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

10 simplify $-sqrt{2} + 6sqrt{5} - 3sqrt{5}$ a $3sqrt{5} - sqrt{2}$ b $…

Question

10 simplify $-sqrt{2} + 6sqrt{5} - 3sqrt{5}$
a $3sqrt{5} - sqrt{2}$
b $-sqrt{2} + 3$
c $sqrt{2} - 3sqrt{5}$
d $2sqrt{5}$

Explanation:

Step1: Combine like radical terms

$6\sqrt{5} - 3\sqrt{5} = (6-3)\sqrt{5} = 3\sqrt{5}$

Step2: Rewrite the expression

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

Answer:

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