Question

subtract. write your answer in simplest form.
$7\sqrt{35} - 9\sqrt{35}$

Explanation:

Step1: Factor out \(\sqrt{35}\)

We can use the distributive property \(a\sqrt{c}-b\sqrt{c}=(a - b)\sqrt{c}\). Here, \(a = 7\), \(b=9\) and \(c = 35\). So we have \((7 - 9)\sqrt{35}\).

Step2: Calculate \(7-9\)

\(7-9=- 2\). So the expression becomes \(-2\sqrt{35}\).

Answer:

\(-2\sqrt{35}\)