Question

find the value of 4√16 upon 4√81

Answer 1

4√16=4×4

and

4√81=4×9

atq,

4×4/4×9=4/9

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Answer 2

Answer:

$\frac{4}{9}$ is the required value of $\frac{4\sqrt{16} }{4\sqrt{81} }$.

Step-by-step explanation:

Explanation:

Given in the question, $\frac{4\sqrt{16} }{4\sqrt{81} }$.

According to the question we need to find out the value $\frac{4\sqrt{16} }{4\sqrt{81} }$.

• As we know, a square root is a number that, when multiplied by itself, yields a specific number.

• Numbers with square roots that are whole numbers are considered perfect squares. Perfect squares include 4, 9, 16, 25, and 36.

Step 1:

We have, $\frac{4\sqrt{16} }{4\sqrt{81} }$

As we know that, 9 × 9 = 81  and 4 × 4 = 16.

So, $\sqrt{81}$ can be written as $\sqrt{9.9}$ which is equal to 9.

And $\sqrt{16}$ can be written as, $\sqrt{4 . 4}$ which is equal to 4.

Now, $\frac{4\sqrt{16} }{4\sqrt{81} }$ can be written as,

⇒$\frac{4\sqrt{16} }{4\sqrt{81} }$ = $\frac{4 . 4}{4. 9}$ = $\frac{4}{9}$       [where 4 and 4 are cancel out]

Final answer:

Hence, $\frac{4}{9}$ is the required value of $\frac{4\sqrt{16} }{4\sqrt{81} }$.

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