I am working on my algebra figuring the distance ... I have totally forgotten how to simplify a square root. Can someone please assist me here?
The answer is sq rt of 50 and the back of the book says the simplified answer is 2 sq rt of 17 and I have no idea how they got that.
Thank you in advance for any help you have to offer.
Candi
2007-09-04 22:15:01 · 8 answers · asked by snugga_bug 1 in Science & Mathematics ➔ Mathematics
Ok, the actual distance problem is P1 (3,-4) & P2 (5,4)
Thank you so much for your help
2007-09-04 22:36:32 · update #1
d ² = (5 - 3) ² + (4 + 4) ²
d ² = 4 + 64
d ² = 68
d = 2√17 (as per back of book!)
2007-09-05 01:30:23 · answer #1 · answered by Como 7 · 2⤊ 0⤋
Working from the distance problem: P1 (3,-4) & P2 (5,4)
What is the distance between these two points?
First, consider the distance only in the x direction. Looking only at the x values, it is clear there is a difference of two between them. (You can do 5 - 3, or 3 - 5 - we will square the answer, so it does not matter if it is negative or positive).
Then, consider the distance only in the y direction. 4 - -4 = 8. There is a distance of 8 between them. (Picture, or draw a number line if this is unclear).
To evaluate the distance between two points, we do:
Sqrt( (distance in x direction)^2 + (distance in y direction)^2 )
=> Sqrt( 2^2 + 8^2 )
=> Sqrt( 4 + 64 )
=> Sqrt( 68 )
Which, as explained above, simplifies as follows:
Sqrt( 68 ) = Sqrt( 4 * 17 ) = Sqrt( 4 ) * Sqrt( 17 ) = 2 * Sqrt ( 17 ).
2007-09-04 23:24:35 · answer #2 · answered by steppy333 2 · 0⤊ 1⤋
Question 1 √54 = √(9 x 6) = 3.√6 Question 2 √ (10/32) = √((2 x 5) / (2 x 16)) = [√(5/16) ] = (1/4).√5
2016-04-03 04:24:59 · answer #3 · answered by Anonymous · 0⤊ 0⤋
If your answer is correct, the sq. rt of 50 = 5 sq.rt. of 2.
2 sq.rt. of 17 is the simplification of the sq.rt of 68; that's quite a difference from your answer. It would have been helpful if you had included the actual distance problem. Then we could check if your approach was correct.
2007-09-04 22:31:39 · answer #4 · answered by T-rex 2 · 0⤊ 1⤋
50 = 5 * 5 * 2
so sqrt(50) = sqrt(5*5) * sqrt(2) = 5*sqrt(2)
which is different from 2 sqrt(17), check your calculations!
2007-09-04 22:24:27 · answer #5 · answered by paulatz2 2 · 0⤊ 0⤋
sqrt(50) = sqrt(2x25) = 5 sqrt(2) = 5 x 1.414 = 7.070
2 x sqrt(17) = sqrt(68) = sqrt(4 x 17)
i think u have to try again. because ans do not match with back book. ithink u got. rule here is. sqrt(ab) = sqrt(a) x sqrt(b)
2007-09-04 22:31:28 · answer #6 · answered by hilly17in 2 · 0⤊ 1⤋
the square root of 50 should be 9.33, you find a number that when multiplied, by itself, = the object #
2007-09-04 22:23:42 · answer #7 · answered by Dragon'sFire 6 · 0⤊ 0⤋
sqrt(50)
= sqrt[(25)*2]
= sqrt[ {(5)^2}*2]
= sqrt[(5)^2]*sqrt(2)
= 5 sqrt(2) NOT 2 sqrt 17
2007-09-04 22:30:17 · answer #8 · answered by sv 7 · 0⤊ 1⤋