Question

1.Find the value of a (6)/(3sqrt(2)-2sqrt(3))=3sqrt(2)-a sqrt(3)]

Answer 1

SOLUTION

TO DETERMINE

The value of a when

$\displaystyle \sf{ \frac{6}{3 \sqrt{2} - 2 \sqrt{3} } = 3 \sqrt{2} - a \sqrt{3} }$

EVALUATION

$\displaystyle \sf{ \frac{6}{3 \sqrt{2} - 2 \sqrt{3} } = 3 \sqrt{2} - a \sqrt{3} }$

$\displaystyle \sf{ \implies \frac{6(3 \sqrt{2} + 2 \sqrt{3} )}{(3 \sqrt{2} + 2 \sqrt{3} )(3 \sqrt{2} - 2 \sqrt{3} ) } = 3 \sqrt{2} - a \sqrt{3} }$

$\displaystyle \sf{ \implies \frac{6(3 \sqrt{2} + 2 \sqrt{3} )}{ {(3 \sqrt{2} )}^{2} - {(2 \sqrt{3} )}^{2} } = 3 \sqrt{2} - a \sqrt{3} }$

$\displaystyle \sf{ \implies \frac{6(3 \sqrt{2} + 2 \sqrt{3} )}{ 18 - 12 } = 3 \sqrt{2} - a \sqrt{3} }$

$\displaystyle \sf{ \implies \frac{6(3 \sqrt{2} + 2 \sqrt{3} )}{ 6 } = 3 \sqrt{2} - a \sqrt{3} }$

$\displaystyle \sf{ \implies (3 \sqrt{2} + 2 \sqrt{3} ) = 3 \sqrt{2} - a \sqrt{3} }$

Comparing both sides we get a = - 2

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Answer 2

Answer:

This is a answer is -2

Step-by-step explanation:

this is a answers is -2