plzz help me on the following:
ok there is no square root symbol so ill use parenteses around the number that is supposed 2 b in the square root symbol
(125) - (10) divided by (5)
2007-06-13 13:11:54 · 7 answers · asked by Y 5 in Science & Mathematics ➔ Mathematics
Let x = ( sqrt(125) - sqrt(10) ) / sqrt(5)
Multiply top and bottom by sqrt(5):
x = sqrt(5)( ( sqrt(125) - sqrt(10) ) / 5
Multiply out the brackets:
x = ( sqrt(5)sqrt(125) - sqrt(5)sqrt(10) ) / 5
Use sqrt(a)sqrt(b) = sqrt(ab):
x = ( sqrt(625) - sqrt(5)sqrt(5)sqrt(2) ) / 5
x = ( 25 - 5sqrt(2) ) / 5
x = 5 - sqrt(2).
2007-06-13 13:20:03 · answer #1 · answered by Anonymous · 1⤊ 0⤋
hi there...
so your question looks sqrt(125) - sqrt(10 / sqrt(5)
there are two things going on here...
the first thing is to remove the radicals (square root sign) out of the denominator - called rationalizing the denominator
and the other thing is to simplify , if possible, anything in the sqrt sign...
looking at sqrt(125), you'll see that 125 = 25 * 5 and 25 is perfect square so, you can rewrite that as 5sqrt(5)...
so the expression looks like 5sqrt(5) - sqrt(10) / sqrt(5)
now rationalize the denominator by multiplying the denominator and numerator by sqrt(5), the reason this works is that sqrt(5) * sqrt(5) = sqrt(25), a perfect square! which is 5
so the expression becomes 5*sqrt(5)*sqrt(5) - sqrt(10)*sqrt(5) / sqrt(5) * sqrt(5)...
simplified it is 25 - sqrt(50) / 5
also notice that sqrt(50) = sqrt(25 * 2) which becomes 5sqrt(2)
now the expression is 25 - 5sqrt(2) / 5
also notice that there is a common factor of 5 in every term, so you can factor that out and the expression becomes...
5 - sqrt(2) / 1 or 5 - sqrt(2).
Hope this helps...
Cheers,
Mark
2007-06-13 20:31:01 · answer #2 · answered by Mark B 2 · 0⤊ 0⤋
Break down â10 into â5x2, then the â5 for the numerator and denominator cancels each other out. You'll left with:
â125 - â2 = 5â5 - â2 or 9.77
2007-06-13 20:36:51 · answer #3 · answered by Eleckid 2 · 0⤊ 0⤋
If you don't have square root symbol, use parenthesis enclosing the number with a power 1/2.
example, square root of 2 can be written as (2)^1/2.
2007-06-13 20:18:39 · answer #4 · answered by dongskie mcmelenccx 3 · 0⤊ 0⤋
(10)/(5) = (2)
So the answer is 5(5) - (2)
2007-06-13 20:15:12 · answer #5 · answered by mradigan747 2 · 0⤊ 2⤋
11.18 - 3.16 = 8.02 divided by 2.236 = 3.5867
2007-06-13 20:17:09 · answer #6 · answered by badotisthecat 5 · 0⤊ 0⤋
well, i got 9.7661263254408820232473775916964
2007-06-13 20:23:54 · answer #7 · answered by mia 3 · 0⤊ 1⤋