Question

After rationalizing the denominator of 7 divided by 3 root 3-2root2,what is the value of denominator? hint (ans 19)​

Answer 1

Answer:

19

Step-by-step explanation:

$7 \div (3 \sqrt{3} - 2 \sqrt{2} )$

$(7 \times (3 \sqrt{3} + 2 \sqrt{2} )) \div(( 3 \sqrt{3} - 2 \sqrt{2} ) \times (3 \sqrt{3} + 2 \sqrt{2} ))$

$(21 \sqrt{3} + 14 \sqrt{2} ) \div (27 - 8)$

$(21 \sqrt{3} + 14 \sqrt{2} ) \div 9$

hence, the denominator will be 19

Answer 2

19 is the denominator

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