Question

Find all the real square roots of 0.0064.

0.25298 and –0.25298
0.0253 and –0.0253
0.08 and –0.08
0.0032 and –0.0032
2. Find the real-number root.


–0.605
1.1
–1.1

Answer 1

Answer: 1) Third option is correct.

2) Second option is correct.

Explanation:

1) Since we have given that

`√(0.0064)`

We need to find all the real square roots.

First we will write it in the following way:

`√(0.0064)\\\\=\sqrt{(64)/(10000)}\\\\=\frac{√(64)}√(10000)}\\\\=\pm(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.

`√(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