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Verified Answer :

(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

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.