algebra

posted by .

How to simplify
the square root of 45 plus 4 square root 5

  • algebra -

    first note that we can't combine radicals if the radicands (term inside a radical sign) are not equal.
    notice that we can further simplify squareroot of 45 as
    sqrt(45) = sqrt(3*3*5) = sqrt(3^2 * 5) = 3*sqrt(5)
    now, we can combine them:
    3*sqrt(5) + 4*sqrt(5)
    7*sqrt(5)

    hope this helps~ :)

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 am a bit confused about conjugates in algebra. I am supposed to multiply 8/(the square root of two + 4) by the square root of 2 -4. My math book then goes on to simplify this to (8 times the square root of two minus 32) divided by …
  4. Algebra (urgent!)

    I am a bit confused about conjugates in algebra. I am supposed to multiply 8/(the square root of two + 4) by the square root of 2 -4. My math book then goes on to simplify this to (8 times the square root of two minus 32) divided by …
  5. Algebra 2

    could you walk me thorugh these problems simplfy square root 18 - 3 times sqaure root of 50 plus 5 times the square root of 80 - 2 times the square root of 125 I'm having troubles with the square root of 80 all of the other radicals …
  6. algebra 2

    Not sure if either one of these answer are correct to simplify the sqrt for 24 1) 24 = 6 x 4 square root of 24 = square root of 6 x 4 2 root 6 2) sq root 24 = sq root (4x6)= sqrt 4 x sqrt 6= 2sq root 6=4.89898 3) Square root of 24 …
  7. 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 …
  8. 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: 2 square root 48 3 square root 81 6 square root 12 …
  9. 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 …
  10. college pre-calculus

    simplify: square root (4/3)-square root (3/4) A. 2-sqaure root(3)/2 square root (3) B. square root (7/12) C. square root (3)/6 D. 2/square root (3) which answer?

More Similar Questions