Question

multiply square root of 8 by square root of 10 in radical form

Answer 1

8.94427

Answer 2

Let's first look at the properties of the "radicals".
We will call a "radical" to any number or mathematical expression that is inside a square root.
So, let's say we have two radicals:
\[Q = \sqrt[n]{a}\]
\[P=\sqrt[n]{b}\]
So, in other words, I want to know what the value of the product of Q and P are:
\[Q.P=(\sqrt[n]{a})(\sqrt[n]{b})\]
using some exponential properties we get:
\[(Q.P)^n = a.b\]
Taking the n root on both sides:
\[Q.P=\sqrt[n]{a.b}\]
And replacing Q and P values:
\[\sqrt[n]{a}.\sqrt[n]{b}=\sqrt[n]{b.a}\]
So, what we just found is that, any product of radicals, is the same as the radical of the product of the expressions inside of them, cool huh?

For example:
\[\sqrt{5}.\sqrt{40}=\sqrt{5.40}=\sqrt{200}\]