Determine the sign of \(\displaystyle{169}\times{7}-{49}\sqrt{{{123}}}\)

Makayla Stevens

Makayla Stevens

Answered question

2022-03-26

Determine the sign of
169×749123

Answer & Explanation

Tristatex9tw

Tristatex9tw

Beginner2022-03-27Added 18 answers

Step 1
A different way is to note that
169=132
so
1677r49123
16949r12349
=144492149
(137)2r(127)22149
Since 137>1 the LHS is much larger.

Raiden Griffin

Raiden Griffin

Beginner2022-03-28Added 13 answers

Step 1
Divide 72 from both sides:
169272123
Now
72123<72144=(712)2=842<1692
The discriminant is positive.

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