Question

1.Multiply and simplify if possible.

Answer 1

Answer:

One sqrt(7)*x -49sqrt(x)

Two -30sqrt(2)a

Right: - 3 cuberoot(2a)

Step-by-step explanation:

Left Questions

One

sqrt(7)x ((sqrt(x) - 7sqrt(7) )                         Remove the Brackets

• sqrt(7x) * sqrt(x) - sqrt(7x) * 7sqrt(7)
• √(7*x)*sqrt(x) - 7*7*sqrt(x)                                          Combine
• √7 (x) - 49x

This question has a a slight bit of ambiguity in it. Is the x outside the brackets underneath the root  sign or not? I have taken it as not. Leave a note if I am wrong. Edit: This question clears itself when you use the original statement. I think it is correctly represented now. When you use √ you have to use brackets to show what is under the root sign.

Two

You can take a lot of common factors out side the brackets.

The common factors are 3*sqrt(2)*a When you do that, you are left with

• 3*sqrt(2)*a * ( 11 - 21)
• 3*sqrt(2)*a * (-10)
• The final answer is
• -30sqrt(2)*a

Of course there are other, more direct ways of doing this.

Right Question.

The problem here is answering in such a way that you are showing work.

Let z = 3∛(2a)

The problem now becomes

z*(1 - 2)

- z

Now substitute back

-3∛(2a)      Answer