Simplify the expressions and solve the equations

Question

1. 2√3 - √12

My answer: 2√3 - 2√3 = 0

2. √(5p + 5)^2 = √(6p + )^2

I got the answer p = 4

3. √(28) + √(63) + √(175)

This one seems so simple. I tried multiple times, but I can't seem to get the correct answer. I think i'm making some little mistake in the calculations or something.

4. √(2w + 5) + 4 = √(25)

My answer: -3.5

5. √(18)/√(8 - 3)

My answer: -12 - 9 √2

Answer 1

#1 ok
#2 ok if you meant √(6p+1)

#3
√28 + √63 + √175
2√7 + 3√7 + 5√7 = 10√7

#4
√(2w+5) + 4 = √25
√(2w+5) = 1
2w+5 = 1
2w = -4
w = -2

#5
√18/√(8-3)
3√2 / √5
(3√10)/5

If you meant

√18/(√8-3)
(3√2)(√8+3)/5
(12+9√2)/5
How did you come up with your answer?

Answer 2

I have a question.

#3: On my calculator, √28 + √63 + √175 = 6.06, but 10√7 = 26.5. Shouldn't they = the same number?

As for #5.. I'm not really sure, tbh. I tried that problem a while a go and I'm not quite sure where I was going with it.

Answer 3

There's no way that

√28 + √63 + √175 = 6.06

You must have hit some wrong keys

Just a rough approximation would be

5 + 8 + 13 = 26, not 6.06!

Answer 4

Well, I entered in the calculator √28 + √63 + √175 and got 6.06. I just entered the expression. I didn't take the sq roots first.