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(88) What is the value of [tex]\sqrt{12.96} + \sqrt{0.1296} + \sqrt{0.001296} + \sqrt{0.00001296}[/tex]?

Sagot :

Sure, I will guide you through the calculation step-by-step:

1. Calculating the square root of 12.96:
[tex]\[ \sqrt{12.96} = 3.6 \][/tex]

2. Calculating the square root of 0.1296:
[tex]\[ \sqrt{0.1296} = 0.36 \][/tex]

3. Calculating the square root of 0.001290:
[tex]\[ \sqrt{0.001290} \approx 0.03591656999213594 \][/tex]

4. Calculating the square root of 0.00001290:
[tex]\[ \sqrt{0.00001290} \approx 0.003591656999213594 \][/tex]

5. Adding all these square roots together:
[tex]\[ 3.6 + 0.36 + 0.03591656999213594 + 0.003591656999213594 \approx 3.99950822699135 \][/tex]

So, the value of [tex]\(\sqrt{12.96} + \sqrt{0.1296} + \sqrt{0.001290} + \sqrt{0.00001290}\)[/tex] is approximately [tex]\(3.99950822699135\)[/tex].