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simplify
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\[\sqrt{2,475}\]
Write the prime factors. Start by dividing by 5
k
\[2475=5(495)=5(5)(99)=5(5)(9)(11)=5(5)(3)(3)(11)=5^2(3^2)(11)\]
So: \[\sqrt{2475}=\sqrt{5^2(3^2)(11)}\]
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Can you finish it?
8^2\[\sqrt{11}\]
\[\sqrt{5^2(3^2)(11)}=\sqrt{5^2}\sqrt{3^2}\sqrt{11}\]
Does that help?
45\[\sqrt{11}\]
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