Your friend is asked to simplify the expression \sqrt{5} +\sqrt{125}

Thalia Ortiz

Thalia Ortiz

Answered question

2022-03-08

Your friend is asked to simplify the expression 5+12520. He says that since the radicals are unlike, the terms cannot be simplified. Is he correct? If not, explain how he could simplify this expression.

Answer & Explanation

hysbwrialoez

hysbwrialoez

Beginner2022-03-09Added 1 answers

You can simplify it.
5+12520
=5+25520
=5+5520
=6520
EDIT: As Charley Parker pointed out, you can reduce 20 and get a final answer of 45.
reclaimxww

reclaimxww

Beginner2022-03-10Added 2 answers

Although the radicands are different in the given expression, they can be converted to common radicand.
125=25×5=25×5=55
20=4×5=4×5=25.
Therefore the given expression becomes
5+5525
=45.

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