Comparing Radicals

Directions: Using the numbers 1-9 one time only, fill in the blanks so that the equations are true.

Hint

What do you know about the radical in the top equation?
Therefore what options are there? What numbers are already taken?
Therefore what could the numbers in the bottom inequality be?

Answer

There are many answers. Here are some of them:
√16=4 and 7>√52<8
√16=4 and 7>√53<8
√16=4 and 7>√59<8
√49=7 and 5>√28<6
√49=7 and 5>√31<6
√49=7 and 5>√32<6
√81=9 and 4>√23<5
√81=9 and 5>√27<6
√81=9 and 5>√32<6
√81=9 and 6>√42<7
√81=9 and 6>√43<7
√81=9 and 6>√45<7

Source: Kate Nerdypoo

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