Question

What is the following product? 4 square root 7

Answer 1

Given is
`4√(7)`

Given is the multiplication of an integer and a radical term.

Generally, we look for the number given inside radical symbol (square-root sign) and find out if we could simplify it by finding its factors. But here we are given 7 inside square-root. 7 is a prime number, so we can use calculator and find the value of
`√(7)`

`√(7) = 2.645751311`

Now we can multiply the integer number 4 with decimal number 2.645751311 to get the answer.

4 x 2.645751311 = 10.58300524

So, The product of 4 and
`√(7)` is approximately 10.583

Answer 2

The answer is: The product
`4 √(7)` is a radical multiplied by an integer and the result is
`10.58`
By definition, the set of integers has: negative numbers, positive numbers and zero.
Radicals are also known as roots and can be written with the symbol:
`\sqrt[n]{}` , where "n" is the index.
Normally, when a radical is multiplied by an integer, you must simplify it, but in this case you can calculate the result by using your calculator.