Video Transcript
Find the integer that, when multiplied by itself, gives a number between 62 and 66.
An integer is a whole number. Multiplying a number by itself means squaring the number. The first four square numbers are one, four, nine, and 16. This is because one squared or one multiplied by one is one, two squared is four, three squared is nine, and four squared is 16.
To answer this question, we need to find a square number between 62 and 66. Seven squared is equal to 49, which is too small. Eight squared is equal to 64, which does lie between 62 and 66. Nine squared is equal to 81, which is too big. The only square number that lies between 62 and 66 is 64. This means that the correct answer is eight. The only positive integer that, when multiplied by itself, gives a number between 62 and 66 is eight.
It is worth noting that when we square negative eight, we also get 64 as multiplying a negative number by a negative number gives a positive answer. Whilst the only positive integer is eight, the negative integer negative eight also gives us a number between 62 and 66 when multiplied by itself.
