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Laura<3Best ResponseYou've already chosen the best response.0
Uh... Sorry. I don't know. What math are you taking?
 one year ago

phiBest ResponseYou've already chosen the best response.1
the first step might be to use this rule \[ \frac{\sqrt{a}}{\sqrt{b} } = \sqrt{\frac{a}{b}} \]
 one year ago

phiBest ResponseYou've already chosen the best response.1
that is a good way to get rid of the sqrt in the bottom. you can then use \[ \sqrt{a}\cdot \sqrt{b}= \sqrt{a \cdot b} \] to merge the 2 sorts then find the prime factors of the number, and "pull out" pairs of the same number from the sort for the x's pull out pairs of x's (remember x^16 is x*x*x...*x (x times itself 16 times, so lots of pairs)
 one year ago

phiBest ResponseYou've already chosen the best response.1
Let's do it this way \[ \frac{\sqrt{250 x^{16}}}{\sqrt{2x}}= \sqrt{\frac{250 x^{16}}{2x}}\] simplify to get rid of the fraction. divide 2 and x into the top. what do you get?
 one year ago

phiBest ResponseYou've already chosen the best response.1
write out the whole answer, with the sort
 one year ago

phiBest ResponseYou've already chosen the best response.1
what happened to the x in the bottom ? \[\sqrt{\frac{250 x^{16}}{2x}} \]
 one year ago

phiBest ResponseYou've already chosen the best response.1
remember x*x*x/x is x*x one x from the top cancels out the x in the bottom
 one year ago

phiBest ResponseYou've already chosen the best response.1
we start with \[ \sqrt{\frac{250 x^{16}}{2x}} \] now divide 2 into 250. you get 125 divide x into x^16 . what do you get?
 one year ago

phiBest ResponseYou've already chosen the best response.1
x^16 is short hand for x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x if you divide that by x what do you get?
 one year ago

phiBest ResponseYou've already chosen the best response.1
yes. Let's do a simple example \[ \frac{x}{x}\] that is 1 \[ \frac{x\cdot x}{x} = \frac{\cancel{x}\cdot x}{\cancel{x}} =x\]
 one year ago

phiBest ResponseYou've already chosen the best response.1
In your problem we cancel out 1 x from the top and bottom that leaves 15 x's multiplied together. we would use short hand to write it x^15
 one year ago

phiBest ResponseYou've already chosen the best response.1
closer but when you divide, you don't have the denominator anymore. in other words, we had 250/2 we get 125 NOT 125/2 and x*x/x is x NOT x/x can you fix your answer?
 one year ago

phiBest ResponseYou've already chosen the best response.1
yes now let's do the easy part: the x^15 Here is an example with x^2: \[ \sqrt{x\cdot x} = x \] we "pull out" a pair of x's and make it just x with no square root Here is an example with x^3 \[ \sqrt{x\cdot x\cdot x} = x\sqrt{x} \] pull out a pair of x's , but leave the last one inside the square root what do we do with x^15 ?
 one year ago

phiBest ResponseYou've already chosen the best response.1
yes, but we can think about it like this. 15 is an odd number, but 14 is even 14 is 2*7 so we see there are 7 pairs of x's and 1 left over to make 15 \[ \sqrt{x^{15}} = x^7 \sqrt{x} \]
 one year ago

phiBest ResponseYou've already chosen the best response.1
now the 125. we factor it into prime numbers, and look for pairs. 5 divides into 125. can you find the factors?
 one year ago

phiBest ResponseYou've already chosen the best response.1
125 is 5*5*5 NO 7 involved. Can you simplify \[ \sqrt{5 \cdot 5 \cdot 5} \]?
 one year ago

phiBest ResponseYou've already chosen the best response.1
you can "pull out" one pair of 5's
 one year ago

phiBest ResponseYou've already chosen the best response.1
except when the pair comes out, you drop one of the 5's
 one year ago

phiBest ResponseYou've already chosen the best response.1
yes, now put it all together.
 one year ago

phiBest ResponseYou've already chosen the best response.1
\[ \sqrt{125 x^{15} }\] is ?
 one year ago

blast234Best ResponseYou've already chosen the best response.1
How can i put them together
 one year ago

phiBest ResponseYou've already chosen the best response.1
\[ \sqrt{125 x^{15} } = \sqrt{125} \cdot \sqrt{x^{16}} \] and you know the answer to each of the square roots (we just figured them out)
 one year ago

phiBest ResponseYou've already chosen the best response.1
that is the simplified sort(125), but you need to multiply it by sqrt(x^15) (simplified)
 one year ago

phiBest ResponseYou've already chosen the best response.1
sqrt(125) * sqrt(x^15) = 5 * sqrt(5) * x^7 * sqrt(x) we can combine the sqrt(5)*sqrt(x) into sqrt(5x) so the final answer is 5 x^7 sqrt(5x)
 one year ago

phiBest ResponseYou've already chosen the best response.1
Try some more, because it takes practice.
 one year ago
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