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  • 01-10-2020
  • Mathematics
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Q.No.4. Calculate the cube root of 64.​

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  • 01-10-2020

Answer:

[tex]\huge\boxed{\sqrt[3]{64}=4}[/tex]

Step-by-step explanation:

We know:

[tex]\sqrt{a}=b\iff b^2=a\qquad\text{for}\ a\geq0\\\\\sqrt[3]{a}=b\iff b^3=a[/tex]

We have:

[tex]\sqrt[3]{64}=4\ \text{because}\ 4^3=4\cdot4\cdot4=64[/tex]

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