NMTC 2015

Algebra Level 2

1 + 2 3 × 3 − 2 2 6 = ? \large \sqrt [ 3 ]{ 1+\sqrt { 2 } } \times \sqrt [ 6 ]{ 3-2\sqrt { 2 } } = \ ?


The answer is 1.

Bala Vidyadharan by Bala vidyadharan , 20, India

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2 solutions

Kawsar Ahmed Asif
Sep 12, 2015

3 Helpful 0 Interesting 0 Brilliant 0 Confused
Gian Sanjaya
Aug 24, 2015

The person that post this probably want 1+sqrt(2) instead of 1+2sqrt(2). I guess just that. You can reduce (3-2sqrt(2))^(1/6) into (sqrt(2)-1)^(1/3) and then multiply it with the left form.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Sorry but I don't understand you

Ishita .S - 5 years, 9 months ago

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That's fine, because my point is just to try correcting this alegbra problem.

Gian Sanjaya - 5 years, 9 months ago

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Thanks. I've updated the problem statement to reflect this.

Brilliant Mathematics Staff - 5 years, 9 months ago

Correct, this is a NMTC 2015 question, there it was root 2 and not 2root2

Kushagra Sahni - 5 years, 9 months ago

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