Algebra

posted by .

When you're breaking down the square root in the quadratic formula into several parts- say it was the originally the square root of 80 so you break it down to square root of 4 and square root of 20-would the results be added or multiplyed? Because I know when you further break this down you get 2, the square root of five and the square root of four. Would you add the two 2's, or multiply them? And is there a +/- sign in front of each coefficient or is it just in front of the ACTUAL square root, not the broken down parts of the square root? Thank you so much for clarifying this!

  • Algebra -

    You probably have a something like this
    (? ± √80)/??

    so when you "break down" the √80 you would look for the largest perfect square which divides into 80. That would be 16

    so √80 = √16 x √5
    = 4√5 , which means 4 times the square root of 5
    when you put that back into the formula expression you would of course keep the ±

    get used to checking your work with a calculator.
    find √80 and note its decimal answer
    now find √5 , then multiply that by 4
    You should get the same answer correct to about 8 decimal places, if not, you made a mistake.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    What is the square root of 12? 3.464 Well, that's true, but you could simplify it in radicals. The square root of 12 is the same as saying the square root of 3 times the square root of 4. The square root of 4 is plus or minus 2, so
  2. Math

    Just need some help... Directions: Multiply or raise to the power as indicated... Then simplify the result. Assume all variables represent positive numbers. 1. 5(square root of 6) times two-thirds(square root of 15)= 3 one-third (square …
  3. Algebra

    I used an online math site, to explain quadratic equations. But the thing is, they said that (-4)^2 is 16, but my calculator said -16. Why is that?
  4. Algebra

    Use the quadratic formula to solve the equation. Give exact answers: 2x^2 -1 = 6x. The choices are: a) -3 + square root(7)/2, -3 - square root(7)/2 b) 3 + square root(11)/2, 3 - square root(11)/2 c) 3 + square root(7)/2, 3 - square …
  5. Algebra

    69: 16x^2+8x-3. I inserted this into the quadratic formula and got -8+/- the square root of (8^2-4(16)(-3)/(2 times 16). This reduced to -8+/- the square root of (64+120)/32, which further reduced to -8+/-the square root of 184/32. …
  6. Algebra

    Rationalize each expression by building perfect nth root factors for each denominator. Assume all variables represent positive quantities. I don’t understand how to compute these. Also I don’t have the square root sign so I typed …
  7. Math simplifying mixed radicals

    Please help me simplify these following mixed radicals:: and show me how you did it cause I need to learn : I don't know how to type a square root sign so I just wrote square root and the numbers infront of the square root are supposed …
  8. Math ~CHECK MY ANSWER~

    1) Which of these is a rational number? a. Pi b. Square root 3 ****** c. Square root 2 d. 1.3 (the # 3 has a line at the top) 2) Which of the following sets contains 3 irrational numbers?
  9. algebra

    Which shows the expressions in the order they would appear on a number line from least to greatest?
  10. math

    1) Which of these is a rational number? a. Pi b. Square root 3 ****** c. Square root 2 d. 1.3 (the # 3 has a line at the top) 2) Which of the following sets contains 3 irrational numbers?

More Similar Questions