Asked by Patti

A few more questions

1. How do you describe the negative square root of 47? I said that it was imaginary, but I got one point marked off for my answer. The descriptions we could choose were Natural, Whole, Integer, Rational, Irrational, and Real. What is the correct classification?

2. I am supposed to simplify 2ef^-3 times g^2/3e^-2 times f^4times g, the whole expression to the negative second power. What would be the correct answer? How is it obtained?

Thanks
Answered by Reiny
don't confuse "the negative square root of 47", which is -√47 or -6.85565..
with "the square root of -47" or √-47, which is imaginary.
Answered by bobpursley
-sqrt47 is not imaginary. It is real, and irrational.
sqrt(-47) is imaginary.

(2ef<sup>-3</sup>*g<sup>2</sup>/3e<sup>-2</sup> * f<sup>4</sup> * g)<sup>-2</sup>

first do the inner..
(2/3 * e<sup>1+2</sup>f<sup>-3+4</sup>g<sup>2+1</sup>)<sup>-2</sup>
Answered by bobpursley
then (3/2)<sup>2</sup>*e<sup>-6</sup>f<sup>-2</sup>g<sup>-6</sup>

of course, you could move the negative exponents to the denominator.
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