Question

what is the product of 4 root 6 and 3 root 24

Answer 1

Answer:

144

Step-by-step explanation:

The given numbers are

=4sqrt 6

=3sqrt {24}

consequently, the fabricated from the given numbers

=4sqrt 6

=3sqrt {24} =  [144].

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Answer 2

The product of 4√6 and 3√24 is 144

Given :

The numbers 4√6 and 3√24

To find :

The product of 4√6 and 3√24

Solution :

Step 1 of 2 :

Write down the given numbers

Here the given numbers are 4√6 and 3√24

Step 2 of 2 :

Find the product

The product of 4√6 and 3√24

$\displaystyle \sf{ = 4 \sqrt{6} \: \times \: 3 \sqrt{24} }$

$\displaystyle \sf{ = (4 \times 3) \sqrt{6 \times 24} }$

$\displaystyle \sf{ = (4 \times 3) \sqrt{2 \times 3 \times 2 \times 2 \times 2 \times 3} }$

$\displaystyle \sf{ =12 \sqrt{2 \times 2 \times 2 \times 2 \times 3 \times 3} }$

$\displaystyle \sf{ = 12 \sqrt{ {2}^{2} \times {2}^{2} \times {3}^{2} } }$

$\displaystyle \sf{ = 12 \times 2 \times 2 \times 3}$

$\displaystyle \sf{ = 144 }$

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