Question

The value of 3 √ 54 ÷ 2 √ 2 is plz help

Answer 1

SOLUTION

TO DETERMINE

The value of 3√54 ÷ 2√2

EVALUATION

Here the given expression is 3√54 ÷ 2√2

We now simplify it as below

3√54 ÷ 2√2

$\displaystyle \sf{ = \frac{3 \sqrt{54} }{2 \sqrt{2} } }$

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

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

$\displaystyle \sf{ = \frac{9\sqrt{ 3 \times 2} }{2 \sqrt{2} } }$

$\displaystyle \sf{ = \frac{9}{2} \times \sqrt{ \frac{3 \times 2}{2} } }$

$\displaystyle \sf{ = \frac{9}{2} \times \sqrt{ 3 } }$

$\displaystyle \sf{ = \frac{9 \sqrt{3} }{2} }$

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Answer 2

Step-by-step explanation:

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