Question

How do you multiply radical 4 times radical 4?

Answer 1

Here is this question, it is asked to find the radical of 4 by multiplying it by 4. Radical basically means square root. Radical can be any root. It can be a square root or may be a cube root also. There are some important components you need to know about the radical like degree, radicand and radicand symbol.

Complete answer:
Now, let’s solve the question.
Solving radicals is not a difficult task. All we need to know is what is radical and some of the important terms used in solving radicals.
Radical is nothing but an expression that contains a root, usually a square root or cube root. There are three main important components of radical. These are: degree, radicand and radicand symbol. When we talk about radicand symbols, it means the ‘root of’ i.e. $\sqrt{{}}$. The expression needs to be solved first before removing the symbol. And when we say degree, it actually indicates how many times a radicand is multiplied by itself. Radicand is a term which refers to a number of which we have to find the root. For example: In $\sqrt{3x}$, 3x is a radicand.
Now, let us see the rule for radicals:
$\Rightarrow \sqrt{a}\times \sqrt{a}=\sqrt{a\times a}=\sqrt{{{a}^{2}}}=a$
In question they have asked to multiply 4 four times:
$\Rightarrow \sqrt{4}\times \sqrt{4}=\sqrt{4\times 4}=\sqrt{{{4}^{2}}}=4$
So, 4 is the final answer.

Note: Note that you should know all the square and square roots as well as cube and cube roots of numbers at least 1 to 20. When we get the words like less than, added to, times, of etc. These words hold some meaning. In this way, here times means to multiply. If the number is missing on the root symbol, it is assumed as 2 which means it is a square root.