Option A: [tex]28\sqrt{3}[/tex] is the expression equivalent to the expression [tex]4\sqrt{147}[/tex]
Explanation:
The expression is [tex]4\sqrt{147}[/tex]
To find the equivalent expression, let us solve the expression [tex]4\sqrt{147}[/tex]
The square root of 147 can be written as,
[tex]\sqrt{147} =\sqrt{49*3}[/tex]
Since, we know that 49 is a perfect square, we can write the above expression as,
[tex]\sqrt{147} =7\sqrt{3}[/tex]
Multiplying this value with the expression [tex]4\sqrt{147}[/tex], we have,
[tex]4\sqrt{147}=4(7\sqrt{3} )=28\sqrt{3}[/tex]
Thus, the expression which is equivalent to the expression [tex]4\sqrt{147}[/tex] is [tex]28\sqrt{3}[/tex]
Hence, Option A is the correct answer.
