If you do this on your calculator, how do you know it's not just an approximation?
2007-04-15 06:17:52 · 5 answers · asked by Scythian1950 7 in Science & Mathematics ➔ Mathematics
its_victoria08, you say that there isn't another EXACT expression for this? You sure?
2007-04-15 06:23:12 · update #1
Sorry, Victoria, there IS an exact expression for this!
Look: (2 + √3)² = 7 + 4√3
So the first square root is 2 + √3.
Also
(1 + √3)² = 4 + 2√3,
so the second square root is 1 + √3.
So the difference is 1.
2007-04-15 06:34:14 · answer #1 · answered by steiner1745 7 · 2⤊ 0⤋
It will always be an approximation to some extent. The only way to give the exact value is to use what is given.
2007-04-15 13:21:27 · answer #2 · answered by its_victoria08 6 · 0⤊ 1⤋
Use the calculator in Windows. It will retain the actual values without rounding on each step. It will give you the answer of 1.
2007-04-15 13:30:11 · answer #3 · answered by Wilton P 5 · 0⤊ 0⤋
root(7+4root(3)) - root(4+2root(3))
= root(7+2root(12)) - root(4+2root(3))
= root4 + root3 - (root3 + root1)
= root4 - root1
= 1
that's how you know
2007-04-15 13:24:08 · answer #4 · answered by Jeffrey W 3 · 0⤊ 0⤋
I got 6.464101615
2007-04-15 13:28:44 · answer #5 · answered by briana11us2004 2 · 0⤊ 1⤋