Respuesta :

carlosego
The answer is: The product [tex]4 \sqrt{7} [/tex] is a radical multiplied by an integer and the result is [tex]10.58[/tex]
 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: [tex] \sqrt[n]{} [/tex] , 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.
aachen

Given is [tex] 4\sqrt{7} [/tex]

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 [tex] \sqrt{7} [/tex]

[tex] \sqrt{7} = 2.645751311 [/tex]

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 [tex] \sqrt{7} [/tex] is approximately 10.583

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