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A Pythagorean triplet is built using the form 2. If the smallest member of the triplet is 12, what are the other two members?

Class 8Squares and Square RootsSquares and Roots
  • A143 and 145
  • B5 and 7
  • C35 and 36
  • D35 and 37

Step-by-Step Solution

The smallest member is 2, so gives . Then and , and the check works: . Reading instead of gives 143 and 145; using and in place of ± 1 gives 5 and 7; and 35 and 36 adds 1 to the wrong member.
Answer: D) 35 and 37

Key idea: Square root of decimals

Pair digits from the **decimal point outward** — that is, leftward for the integer part, rightward for the decimal part. Add zeros on the right of the decimal as needed to make full pairs.

Example: . Pair: .06 25. The integer part is empty. Apply long division on the paired form. Result: 0.25 (since ).

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