Posted by **Cassie** on Tuesday, April 10, 2012 at 2:35am.

A square has a side length of 95. What is the length of the diagonal of the square? Express your answer in simplest radical form.

- Geometry -
**Bosnian**, Tuesday, April 10, 2012 at 3:04am
Pitagorin teorem:

diagonal = sqrt ( 95 ^ 2 + 95 ^ 2 )

diagonal = sqrt ( 2 * 9025 )

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Remark :

9025 = 5 * 5 * 19 * 19

9025 = 5 ^ 2 * 19 ^ 2

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diagonal = sqrt ( 2 * 9025 )

diagonal = sqrt ( 2 * 5 ^ 2 * 19 ^ 2 )

diagonal = 5 * 19 * sqrt ( 2 )

diagonal = 95 * sqrt ( 2 )

- Geometry -
**Bosnian**, Tuesday, April 10, 2012 at 3:50am
diagonal = sqrt ( 95 ^ 2 + 95 ^ 2 )

diagonal = sqrt ( 2 * 95 ^ 2 )

diagonal = sqrt ( 2 * 9025 )

- Geometry -
**Anonymous**, Tuesday, April 10, 2012 at 5:06am
d = sqrt ( 95 ^ 2 + 95 ^ 2 )

d = sqrt ( 2 95 ^ 2 )

d = sqrt ( 95 ^ 2 ) * sqrt ( 2 )

d = 95 sqrt ( 2 )

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