Tag: powers and roots

Questions Related to powers and roots

Multiple choice maths square and square root perfect square or square number squares and triangles powers and roots

If a four-digit perfect square number is such that the number formed by the first two digits and the number formed by the last two digits are also perfect squares, identify the four digit number.

  1. $6416$
  2. $3616$
  3. $1681$
  4. $1664$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Four digit number $accd$

$ab$ is a perfect square
$cd$ is also a perfect square
Consider $6416$
$64$and$16$ are perfect square but $6416$ is not a perfect square.
Consider $3616$
$36$and$16$ are perfect square but $3616$ is not a perfect square.

Consider $1681$
$16$and$81$ are perfect square and $1681$ is a perfect square.

Consider $1664$
$16$and$64$ are perfect square but $1664$ is not a perfect square.
Hence, Option C is correct.