Question

Simplify 3√ 2 – √ 2 .

Answer 1

Answer:  The simplified value of the given radical expression is $2\sqrt2.$

Step-by-step explanation:  We are given to simplify the following radical expression :

$E=3\sqrt2-\sqrt2~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We know that for a radical expression with similar radicals, the following property holds :

$a\sqrt b-d\sqrt b=(a-d)\sqrt b.$

So, from equation (i), we get

$E\\\\=3\sqrt 2-\sqrt 2\\\\=(3-1)\sqrt2\\\\=2\sqrt2.$

Thus the required simplified value of the given radical expression is $2\sqrt2.$

Answer 2

You will have two find the square root of the question