Question

Using square root table, find the square roots of the following numbers up to 3 places of decimal

150
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Answer 1

Step-by-step explanation:

The square root of 150 is expressed as √150 in the radical form and as (150)½ or (150)0.5 in the exponent form. The square root of 150 rounded up to 9 decimal places is 12.247448714. It is the positive solution of the equation x2 = 150. We can express the square root of 150 in its lowest radical form as 5 √6.

Square Root of 150: 12.24744871391589

Square Root of 150 in exponential form: (150)½ or (150)0.5

Square Root of 150 in radical form: √150 or 5 √6

What Is the Square Root of 150?

The square root of 150 = 150½ = √150

√150 = √(a × a) which is √150 = √(12.247 × 12.247) or √(-12.247 × -12.247) ⇒ √150 = ±12.247

We know that on prime factorization, 150 = 2 × 3 × 5 × 5. Thus, in the simplest radical form √150= √(2 × 3 × 5 × 5) = 5√6