Question

Root 18 multiply by root 24

Answer 1

√18 × √24 = 12√3

Given :

The numbers √18 and √24

To find :

To multiply √18 and √24

Solution :

Step 1 of 2 :

Write down the given numbers

Here the given numbers are √18 and √24

Step 2 of 2 :

Multiply the numbers

$\displaystyle \sf{ \sqrt{18} \times \sqrt{24} }$

$\displaystyle \sf{ = \sqrt{18 \times 24} }$

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

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

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

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

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

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

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