Question

find the fifth root of 2.43×10²²​

Answer 1

Answer:

10 is the correct answer

Answer 2

ANSWER:

To Find:

• Fifth root of 2.43 × 10²²

Solution:

We need to find value of

$\implies \sqrt[5]{2.43\times10^{22}}$

We can rewrite it as,

$\implies \sqrt[5]{243\times10^{20}}$

Now, we know that,

$\hookrightarrow 243 = 3\times3\times3\times3\times3 = 3^5$

So,

$\implies \sqrt[5]{243\times10^{20}}$

$\implies \sqrt[5]{3^5\times10^{4\times5}}$

So,

$\implies (3^5\times10^{4\times5})^{\frac{1}{5}}$

$\implies (3^{\frac{5}{5}})\times(10^{\frac{4\times5}{5}})$

Hence,

$\implies 3^1\times10^4$

$\implies 3\times10^4$

$\implies\bf\sqrt[5]{2.43\times10^{22}}=3\times10^4$

Hence, fifth root of 2.43 × 10²² is 3 × 10^4.