Question

What is the following product? 4 square root 7

Answer 1

The answer is: The product $4 \sqrt{7}$ 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.

Answer 2

Given is $4\sqrt{7}$

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 $\sqrt{7}$

$\sqrt{7} = 2.645751311$

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 $\sqrt{7}$ is approximately 10.583