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LaurenAshley1201Best ResponseYou've already chosen the best response.0
\[2\sqrt{6}\times \sqrt{10}\]
 one year ago

CalcmathleteBest ResponseYou've already chosen the best response.1
Multiply them seperately... \[2\sqrt6 \times \sqrt{10} \implies 2\sqrt{6 \times 10} \implies 2 \sqrt{2 \times 3 \times 2 \times 5} \implies~?\]
 one year ago

CalcmathleteBest ResponseYou've already chosen the best response.1
Can you finish from there? Can you simplify the radical?
 one year ago

violyBest ResponseYou've already chosen the best response.0
dw:1344751807375:dw here is an example. :)
 one year ago

waterineyesBest ResponseYou've already chosen the best response.1
@merp it is better if you do it here by your own..
 one year ago

waterineyesBest ResponseYou've already chosen the best response.1
@LaurenAshley1201 \[\implies 2 \sqrt{\color{blue}{\underline{2 \times 2}} \times 3 \times 5} = ??\]
 one year ago

LaurenAshley1201Best ResponseYou've already chosen the best response.0
2 sqrt 60? i dont think im doing it right
 one year ago

waterineyesBest ResponseYou've already chosen the best response.1
You can solve further for \(\sqrt{60}\)..
 one year ago

waterineyesBest ResponseYou've already chosen the best response.1
\[\sqrt{60} = \sqrt{\color{blue}{\underline{2 \times 2}} \times 3 \times 5}\] Can you go further..??
 one year ago

violyBest ResponseYou've already chosen the best response.0
think of a perfect square number that can go into 60.
 one year ago

waterineyesBest ResponseYou've already chosen the best response.1
There is one 2 outside too..
 one year ago

CalcmathleteBest ResponseYou've already chosen the best response.1
We have broken 60 down into prime factors for you. Remember this? \[\sqrt{x \times x} = x\]Use the same rule...
 one year ago

waterineyesBest ResponseYou've already chosen the best response.1
\[2 \times 2 \sqrt{15} = ??\]
 one year ago

violyBest ResponseYou've already chosen the best response.0
do you mean sqrt (4 * 15) ?
 one year ago

LaurenAshley1201Best ResponseYou've already chosen the best response.0
i dont know how to go any furhter
 one year ago

waterineyesBest ResponseYou've already chosen the best response.1
\(\sqrt{60}\) is how much ??
 one year ago

waterineyesBest ResponseYou've already chosen the best response.1
you have solved it above..
 one year ago

waterineyesBest ResponseYou've already chosen the best response.1
\[\sqrt{60} = \sqrt{\color{blue}{\underline{2 \times 2}} \times 3 \times 5} = ??\]
 one year ago

violyBest ResponseYou've already chosen the best response.0
its like sqrt( 5 x 5) = sqrt (25) = 5.
 one year ago

waterineyesBest ResponseYou've already chosen the best response.1
Where are you having problem @LaurenAshley1201
 one year ago

violyBest ResponseYou've already chosen the best response.0
let me give you an example: \[\sqrt{45}=\sqrt{3*3*5}=\sqrt{9} * \sqrt{5} = 3\sqrt{5}\]
 one year ago

LaurenAshley1201Best ResponseYou've already chosen the best response.0
sqrt of 60 is 2 sqrt 15
 one year ago

violyBest ResponseYou've already chosen the best response.0
you got it right now! :)
 one year ago

waterineyesBest ResponseYou've already chosen the best response.1
In square root you can pull out one from a pair like this: \[\sqrt{4 \times 4 \times 5}\] Here you can see there are two 4's. SO you can take one 4 outside and there will remain no 4 in the square root brackets: So it becomes; \[\sqrt{\color{green}{\underline{ 4 \times 4} \times 5}} \implies 4 \sqrt{5}\]
 one year ago

CalcmathleteBest ResponseYou've already chosen the best response.1
Ok. Do you understand this at the very least? \[\sqrt{3 \times 3} = \sqrt{3^2} = \sqrt{9} = 3\color{red}{\huge??????}\]
 one year ago

CalcmathleteBest ResponseYou've already chosen the best response.1
THat's basically what you're doing here, it's just that you can make sense of it without showing all of the steps because you know the end result which is why we know that\[\sqrt{60} = \sqrt{2 \times 2 \times 3 \times 5} = 2\sqrt{15}\]
 one year ago

waterineyesBest ResponseYou've already chosen the best response.1
\[2 \sqrt{60} = 2 \times (2 \sqrt{15}) = ??\]
 one year ago

LaurenAshley1201Best ResponseYou've already chosen the best response.0
@Calcmathlete would that be my final answer?
 one year ago

CalcmathleteBest ResponseYou've already chosen the best response.1
Not quite...you forgot the 2 that was already out there... \[2 \times 2\sqrt{15} = ?\]
 one year ago

violyBest ResponseYou've already chosen the best response.0
not yet, example: \[3*(4\sqrt{5}) = 3*4\sqrt{5} = 12\sqrt{5}\]
 one year ago

LaurenAshley1201Best ResponseYou've already chosen the best response.0
i figuired it out,with everyones help ! thanks everyone
 one year ago
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