Steply

Simplify √15

Step by step, with the reason for every step · Simplifying square roots · Algebra 1

Step by step

The question

Question: simplify √15.

√15

1 Find the biggest square number

Square numbers are a number times itself: 2 × 2 = 4, 3 × 3 = 9, and so on.

We list them up to half of 15.

A bigger one can't go in.

Square numbers: 4

We try the biggest first.

Does 4 go into 15?

No.

15 ÷ 4 ✗

No square number goes into 15.

No square number goes into 15.

So √15 is already as simple as it gets.

√15 is already as simple as it gets.
Answer
15 ÷ 4 ✗

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