The largest perfect square factor that's "hiding inside" of 72 is 36.
Important information:
We need to find the largest perfect square factor that's "hiding inside" of 72.
Perfect square factor:
The factored form of the given number is:
[tex]72=2\times 2\times 2\times 3\times 3[/tex]
Make pairs of the same factors.
[tex]72=(2\times 2)\times 2\times (3\times 3)[/tex]
After multiplying these paired factors, we get
[tex]72=(2\times 2\times 3\times 3)\times 2[/tex]
[tex]72=36\times 2[/tex]
Thus, the largest perfect square factor that's "hiding inside" of 72 is 36.
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