Math, asked by jaikrishnadubey521, 11 months ago

^4√4*^3√4 write the answer please

Answers

Answered by MaheswariS
0

Answer:

\sqrt[6]{128}

Step-by-step explanation:

Given:

\sqrt[4]{4}\times\,\sqrt[3]{4}

LCM(3,4)=12

Using

\boxed{\sqrt[n]{a}=\sqrt[m]{a^{\frac{m}{n}}}}

\sqrt[4]{4}

=\sqrt[12]{4^3}

=\sqrt[12]{64}

\sqrt[3]{4}

=\sqrt[12]{4^4}

=\sqrt[12]{256}

Now,

\sqrt[4]{4}\times\,\sqrt[3]{4}

=\sqrt[12]{64}\times\,\sqrt[12]{256}

=\sqrt[12]{2^6}\times\,\sqrt[12]{2^8}

=\sqrt[12]{2^6\times\,2^8}

=\sqrt[12]{2^{14}}

=2^{\frac{14}{12}}

=2^{\frac{7}{6}}

=\sqrt[6]{2^7}

=\sqrt[6]{128}

Answered by silu12
0

Answer:

Hope it will help you ☺️

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