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Verified Answer :

apologiabiology

squar root both sides
z=+/-0.8
if you are having trouble wit the decimals

0.64=64/100
so if you squar root both sides
remember \(\sqrt{ \frac{x}{y} } = \frac{ \sqrt{x} }{ \sqrt{y} }\) so
\(\sqrt{ \frac{64}{100} } = \frac{ \sqrt{64} }{ \sqrt{100} } = \frac{ \sqrt{8} }{ \sqrt{10} }\)=+/-0.8

Answer:

\(z = \pm 0.8\)

Step-by-step explanation:

Use exponent rules:

\(\sqrt[n]{x^n} = x\)

Solve the equation:

\(z^2 = 0.64\)

Taking square root both sides we have;

\(\sqrt{z^2} = \pm \sqrt{0.64}\)

Apply the exponent rule we have;

\(z = \pm \sqrt{0.64}\)

We can write 0.64 as:

\(0.64 = 0.8 \cdot 0.8 = (0.8)^2\)

then;

\(z = \pm \sqrt{(0.8)^2}\)

Simplify:

\(z = \pm 0.8\)

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