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The geese flew a total distance of d = √750 + √1080 . The work comes in simplifying √750 and √1080 . I will do the simplification for one of these and you can do the other. Which one do you want me to do? @Diana.xL
Pick one for me to do so I can get started, okay?
go ahead and choose one cx
I will choose the radical with the bigger radicand (the number under the radical sign). Task: Simplify √1080 I used the prime factorization calculator over at: http://www.calculatorsoup.com/calculators/math/prime-factors.php
Note that when simplifying square roots, two of a given factor under the radical are required to get one out in front. Look at what I wrote to see that: |dw:1447572141017:dw|
You have this one: √750 Take 750 over to the factorization calculator and post its factors. http://www.calculatorsoup.com/calculators/math/prime-factors.php
Or, you can factor by hand if you prefer.
factors are 2 x 3 x 5 x 5 x 5
√( 2 x 3 x 5 x 5 x 5 ) I see 1 two, 1 three so they will have to stay under the radical. I see three 5 s. It takes two fives to get one out. So, one 5 comes out. The third 5 stays under the radical. So, how does √750 simplify. Hint: 5*√ ?
Yes. 6*√30 + 5*√30 = 11*√30 which is the answer to part a.
For the b part, you need to get an approximation of 11*√30 to the nearest tenth.
You can put "11 times square root of 30=" in the Google search box and the Google calculator will pop up with an approximation.
11*√30 = 60.2494813 rounded to the nearest tenth => 60.2 is that correct?
Yes, that is correct: 60.2 The geese flew a total two-day distance of approximately 60.2 miles.
You are welcome.