GMAT Algebra (NO CALC)

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It's been a few years since I've done algebra, and many more since we've been expected to do it without a calculator like the GMAT rules state. Please help me figure out these two problems without the use of a calculator.
1.
__________________
√(16)(20) + (8)(32) = The answer is -4

2.
1
---------
0.75 - 1

The answer is 24

I don't know how to get these answers. Please help. Thank you.

  • GMAT Algebra (NO CALC) -

    I have a problem getting your answers two. They have probably been interchanged inadvertently.

    1.
    __________________
    √(16)(20) + (8)(32)
    =√(64*5+64*4)
    =√(64*(5+4))
    =8√(9)
    =8*3
    =24

    2.
    1
    ---------
    0.75 - 1
    =1/(0.75-1)
    =1/(-0.25)
    =-1/(1/4)
    =-4/1
    =-4

  • GMAT Algebra (NO CALC) -

    Thank you, my mistake on mixing up the answers when typing. I get number two now. But on number one, how do you get to
    =√(64*5+64*4)

    and then do you combine 64s for
    =√(64*(5+4))

    thank you so much

  • GMAT Algebra (NO CALC) -

    I break down 16*20 into its prime factors, or 64*5 to find if the other term has similar factors.
    I did find a common factor of 64 by changing 8*32 to 4*64.
    The rest you know.

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