4√2 + √2 with work

8√3 - 4√3 with work

2√3 x √32 with work

Step-by-step explanation:

4√2 + √2 = 5√2 we add 4 and the invisible 1 in front of √2, the common root stays same

8√3 - 4√3 = 4√3 subtract 4 from 8 the common root stays same

2√3 x √32 ➡ 2√3 x 4√3 too add the expressions we first need to make the roots common then add 4 and 2

1.

2.

3.

Step-by-step explanation:

Number 1:

We can treat  as a variable in which we are multiplying 4 by. Let's call x.

This makes our expression . Combining like terms, we get . This means that .

Number 2:

Again, we can use the same logic as we did in number 1. Let's treat as a variable y.

Subtracting a y term from a y term will equal the difference between the coefficients times y. So it's . This means that  

Number 3:

When we multiply radicals, we want to put the radicals in form.

is already in this form.

However is not.

is the same thing as .

Now we multiply these radicals by multiply the term inside the square root sign

384 is divisible by 64, so:

Hope this helped!

“a term can be a signed number, a variable, or a constant multiplied by a + sign or j sign. in , the terms are 5x , 3y and 8. when a term is made up of a constant multiplied by a variable or variables, that constant is called a coefficient.” i hope this you.

hello 0xxbadwolfxx0,

2.6 x 10^9 is 2,600,000,000.

1.3 x 10^2 is 130

multiplying 130 and 2,600,000,000 would simply give you 200,000,000,000.

therefore, the answer would be d. 2.0 × 10^11.

i hope i ! warm regards, mae.