Mathematics
Grade10
Easy
Question
Rewrite
into simplest form
Hint:
Square root of a number is a value that, when multiplied by itself gives the number.
The correct answer is: ![6 square root of 3](data:image/png;base64,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)
Here, we have to write the simplest form of √108 .
Now, √108 = √ ( 2 × 2 × 3 × 3 × 3 )
= √ ( 22 × 32 × 3 )
= ( 2 × 3 ) √3
= 6√3
Hence, the correct option is (a) .
The square root is an inverse method lf squaring a number.