# How do you simplify this math problem?

√96 * 2√98

### 5 Answers

- Anonymous9 years agoFavorite Answer
Multiplying out both terms and simplifying the solution, we obtain...

2√(96 * 98)

= 2√(4 * 24 * 2 * 49)

= 2 * 2 * 7 * √(4 * 6 * 2)

= 28 * 2√(2 * 2 * 3)

= 28 * 2 * 2 * √3

= 112√3

I hope this helps!

Source(s): Knowledge - 9 years ago
sq rt 16 * sq rt 6 * 2 sq rt 49 * sq rt 2

4 sq rt 6* 14 sq rt 2= 56 sq rt 12 = [112 sq rt 3 ]<--- answer

sq rt 96 ~9.80

sq rt 98 ~9.90 *2= 19.80 19.8 *9.8=194.04 112 * sq rt 3=193.99 both ~ 194

- Anonymous9 years ago
√96 = 9.8 (rounded to the nearest tenth)

9.8 * 2 = 19.6

√98 = 9.9 (again,rounded to the nearest tenth)

19.6 * 9.9 = 194.04 (rounded to the nearest tenth)

So the answer is 194.04

Source(s): A calculator and math skillz =P - Jeff AaronLv 79 years ago
sqrt(96) * 2*sqrt(98)

= 2*sqrt(96*98)

= 2*sqrt(9408)

= 2*sqrt(3136*3)

= 2*sqrt(3136)*sqrt(3)

= 2*56*sqrt(3)

= 112*sqrt(3)

= sqrt(12544)*sqrt(3)

= sqrt(12544*3)

= sqrt(37632)

=~ 193.98969044771425687507399024866

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- Anonymous9 years ago
okays so wat u do is use the general rule:

arootb x crootd = (axc)root(bxd)

so:

2root(96x96)

=2x 96

=192

hope this helps =D

EDIT: lol realised i read it wrong == sorries

so:

2root(96x98)

=2root(9408)

=193.9896904.... (too bad answer isnt as neat =S )

sorry bout that