Posted by **John** on Tuesday, May 31, 2011 at 3:13pm.

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) -
**MathMate**, Tuesday, May 31, 2011 at 3:27pm
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) -
**John**, Tuesday, May 31, 2011 at 3:42pm
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) -
**MathMate**, Tuesday, May 31, 2011 at 3:55pm
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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