Find all the real square roots of –(9/16)

2 answers:

7 0

We are asked t determine the real square root of -(9/16). the square root of a negative number is an imaginary number hence the answer to this problem is A. no real root. If this number is a positive number, then the answer would have been +-3/4

Rom4ik [11]2 years ago

3 0

Answer:

Option A. no real root.

Step-by-step explanation:

We have to find the real square roots of $(-\frac{9}{16})$ .

We can write the term as $\sqrt{-\frac{9}{16}}=\sqrt{\frac{9.(-1)}{16}}$

= $\pm \frac{3}{4}i$ [ As we know √(-1) = i ]

Since it's an imaginary number therefore we can say square root of any negative number is an imaginary number.

Therefore Option A. no real roots is the correct option.

You might be interested in

According to the manufacturer of the candy Skittles, 20% of the candy produced are red. If we take a random sample of 100 bags o

igomit [66]

Answer:

Probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

Step-by-step explanation:

We are given that 20% of the candy produced are red. A random sample of 100 bags of Skittles is taken.

The distribution we can use here is;

$\frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } }$ ~ N(0,1)

where, p = 0.20 and n = 100

Let $\hat p$ = proportion of red candies in our sample

So, P( $\hat p$ < 0.20) = P( $\frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } }$ < $\frac{0.20 - 0.20}{\sqrt{\frac{0.2 (1- 0.2)}{100} } }$ ) = P(Z < 0) = 0.5