Question

Find all the real square roots of 0.0064.

Answer 1

Answer: 1)  Third option is correct.

2)  Second option is correct.

Step-by-step explanation:

1) Since we have given that

$\sqrt{0.0064}$

We need to find all the real square roots.

First we will write it in the following way:

$\sqrt{0.0064}\\\\=\sqrt{\frac{64}{10000}}\\\\=\frac{\sqrt{64}}\sqrt{10000}}\\\\=\pm\frac{8}{100}\\\\=\pm 0.08\\\\=0.08,-0.08$

Hence, the real square roots of 0.0064 are 0.08 and -0.08.

Hence, Third option is correct.

2) The real number root will be of 1.1 as it is the only positive number among the options for the real number root.

$\sqrt{1.1}=1.048$

So, Second option is correct.

Answer 2

(a ^ b) ^ c = a ^ (bc) using this formula
 64 * 10^-4.
sqrt(64 * 10^-4) 
sqrt(64) * sqrt(10^-4) 
=+/- 8 * (10^-4)^1/2 
=+/-8 * (10)^(-4 * 1/2) 
=+/-8 * 10^(-2) 
=+/-8 * 0.01 
=+/- 0.08 
hope it helps