Keeli was asked to approximate the square root of 38 to the nearest whole number.

Her work is shown here. Analyze her work, describing what she did correctly and what she did incorrectly. Provide the correct approximation, showing and explaining your work.

If you need to type the square root symbol (for example, sqrt36 ), either type it in words, as in "the square root of 36," or use the common abbreviation "sqrt," as in "sqrt(36)" or "sqrt 36."

38 is between the two perfect squares 36 and 64.

38 is closer to 36 than it is to 64.

So sqrt38=6

Question

Keeli was asked to approximate the square root of 38 to the nearest whole number.

Her work is shown here. Analyze her work, describing what she did correctly and what she did incorrectly. Provide the correct approximation, showing and explaining your work.

If you need to type the square root symbol (for example, sqrt36  ), either type it in words, as in "the square root of 36," or use the common abbreviation "sqrt," as in "sqrt(36)" or "sqrt 36."

38 is between the two perfect squares 36 and 64.

38 is closer to 36 than it is to 64. 

So sqrt38=6

anonymous · Answer

the two prefect squares that 38 is between are not 36 and 64
there is one between 36 and 64 that she misses

meilendurcer · Answer

which is?

anonymous · Answer

36 is six squared
64 is eight squared
which one is missing?

anonymous · Answer

i.e. what whole number is between 6 and 8 ?

meilendurcer · Answer

7

anonymous · Answer

right
and what is $7^2$?