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The simplified form is
.
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The Deep Dive
Did you know that square roots are not just for isolating numbers? In algebra, they also help in simplifying expressions! For
, you can break it down:
remains as it is, while
can be simplified to
. So, the full simplification becomes
to make your life just a tad easier.
When working with square roots, one common mistake is forgetting that you can only take the square root of perfect squares. Make sure to factor out numbers to simplify correctly! In our example, remember that while you can simplify
into
,
cannot be simplified further as it’s not a perfect square. Happy simplifying!