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Algebra

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Simplify the expressions and solve the equations

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

  • Algebra -

    #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?

  • Algebra -

    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.

  • Algebra -

    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!

  • Algebra -

    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.

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