Question

Simplify 3√ 2 – √ 2 .

Answer 1

you will have two find the square root of the question

Answer 2

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.`