square root(3+2sqroot2)- squareroot( 3-2sqrroot2)
Im not sure i understand that.
do you mean
square root(3+2sqroot2) MINUS the same thing?
cant figure this problem out for the life of me.
USe your calculator to find teh value of the expression
square root(3+2sqroot2)- squareroot( 3-2sqrroot2)
Show algebracially that the gien expression is indeed the calculated value.
The calculated value is 2, i just need to show how i got it. THanks
Hello, mathproffesor!
. . . . . . . . . . . . . ._ . - . . _ . . . - . . . - . . . . . ._ . - . - _Use your calculator to find the value of:
. . . _______ . . _______
. . √3 + 2√2 - √3 - 2√2 . . . (Answer: 2)
Show algebracially that the given expression is indeed the calculated value.
Note that: . 3 + 2√2 .= .(√2 + 1)² . and . 3 - 2√2 .= .(√2 - 1)²
. . . . . . . . . . . ________ - . ________ . . . . . _ . . - . . . _
So we have: . √(√2 + 1)² - √(√2 - 1)² . = . (√2 + 1) - (√2 - 1) . = . 2
Hello, Jhevon!
I really didn't "see" it, but . . .How did you see that?
Experience has taught me that: if there is a radical expression under a square root,
. . it might be a perfect square . . . so I am suspicious, you see.
. . . - . . . . . . - . . . . . . . . . _______
One of the strangest was: .√5 + 2√6
. . . . . . . . . . . . . . . . . . ._ . - - . _ - - ._
It turned out that: .5 + 2√6 .= .(√2 + √3)²
Just one more thing to watch for . . .