How do you simplify sqrt(7497)√7497?

1 Answer
Lotusbluete
Feb 10, 2016

sqrt(7497) = 21 sqrt(17)√7497=21√17

Explanation:

Try and factorize 74977497:

7497 = 9 * 49 * 17 = 3^2 * 7^2 * 177497=9⋅49⋅17=32⋅72⋅17

Thus,

sqrt(7497) = sqrt(3^2 * 7^2 * 17) = sqrt(3^2) * sqrt(7^2) * sqrt(17) = 3 * 7 * sqrt(17) = 21sqrt(17)√7497=√32⋅72⋅17=√32⋅√72⋅√17=3⋅7⋅√17=21√17

Related questions
See all questions in Square Roots and Irrational Numbers
Impact of this question
2104 views around the world
You can reuse this answer
Creative Commons License