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square root

  1. math_celebrity

    sqrt(12)sqrt(6)/sqrt(8)

    sqrt(12)sqrt(6)/sqrt(8) Simplified, we have: sqrt(72)/sqrt(8) The top can be written as sqrt(8 * 9) which is sqrt(8) * sqrt(9) So we have: sqrt(8) * sqrt(9)/sqrt(8) Cancelling the sqrt(8), we have: sqrt(8) * sqrt(9)/sqrt(8) sqrt(9) = 3
  2. math_celebrity

    Hari planted 324 plants in such a way that there were as many rows of plants as there were number of

    Hari planted 324 plants in such a way that there were as many rows of plants as there were number of columns. Find the number of rows and columns. Let r be the number of rows and c be the number of columns. We have the area: rc = 324 Since rows equal columns, we have a square, and we can set r...
  3. math_celebrity

    8 sqrt(2)/2 sqrt(8)

    8 sqrt(2)/2 sqrt(8) Cancel 8/2 4 sqrt(2)/sqrt(8) Simplify sqrt(8) sqrt(8) = sqrt(4 * 2) sqrt(8) = 2 sqrt(2) Now, we have this: 4 sqrt(2)/2 sqrt(2) Cancel sqrt(2) 4/2 2
  4. math_celebrity

    the square root of twice a number is 4 less than the number

    Write this out, let the number be x. sqrt(2x) = x - 4 since 4 less means subtract Square each side: sqrt(2x)^2 = (x - 4)^2 2x = x^2 - 8x + 16 Subtract 2x from both sides x^2 - 10x + 16 = 0 Using the quadratic calculator, we get two potential solutions x = (2, 8) Well, 2 does not work...
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