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Answer

↓Steps Explained:↓

Solve the following equation

x^2=25

Using our radical expression calculator, we can simplify this

x² = 25

Take the square root of each side:

√x²= √25

x= = ±√25

Simplify √25

If you use a guess and check method, you see that 4² = 16 and 6² = 36

Since 16 < 25 < 36 the next logical step would be checking 5²

5² = 5 x 5

5² = 25 <--- We match our original number!!!

Therefore, √25 = 5

Another method is to list out the products of integers starting at 1 as follows:

1² = 1 x 1 = 1 <--- Not our answer since 1 < 25

2² = 2 x 2 = 4 <--- Not our answer since 4 < 25

3² = 3 x 3 = 9 <--- Not our answer since 9 < 25

4² = 4 x 4 = 16 <--- Not our answer since 16 < 25

5² = 5 x 5 = 25 <--- This is our answer!!!

6² = 6 x 6 = 36 <--- Not our answer since 36 > 25

Final Answer