Question

simplify root2 * root8

Answer 1

Question:

Simplify: $\sqrt{2}\: *\: \sqrt{8}$

Answer:

When two numbers under different square roots are multiplied then simply they are brought under one square root and performed simple multiplication.

So,

$\sqrt{2}*\sqrt{8}\\=\sqrt{2*8}\\=\sqrt{16}\\=4$

Thanking You!

Answer 2

Answer:

When we simplify $\sqrt2*\sqrt8$ we get 4 as the final answer.

Step-by-step explanation:

We have an expression as $\sqrt2*\sqrt8$ and it is asked to simplify this given equation.

Now it is the basic rule of mathematics that when two numbers are multiplied which are under roots come under the single roots and then multiplied.

So first we need to make the simplest roots possible from the given expression which can be written as

$\sqrt2*\sqrt8 \\\sqrt2*\sqrt{2*2*2}\\\sqrt2*\sqrt2*\sqrt2*\sqrt2$

Now when two roots of the same number are multiplied they comes out to be that number which is inside. So the expression becomes

$2*2\\4$

Hence when we simplify the expression $\sqrt2*\sqrt8$ we get 4 as the answer