Respuesta :

[tex]\bf \sqrt{1225}\qquad \begin{cases} 1225=5\cdot 5\cdot 7\cdot 7\\ \qquad 5^2\cdot 7^2\\ \qquad (5\cdot 7)^2\\ \qquad 35^2 \end{cases}\implies \sqrt[2]{35^2}\implies 35[/tex]

The number 1225 according to the factor tree in the simplest form can be written as 5² x 7².

What is a factor?

A factor of n is a number which when multiplied by another number gives us the number n.

Given to us

Number = 1225

We know that the number 1225 can be written as,

1225 = 5 x 5 x 7 x 7

Further, we know about the exponential properties,

1225 = 5 x 5 x 7 x 7

1225 = 5² x 7²

Hence, the number 1225 according to the factor tree in the simplest form can be written as 5² x 7².

Learn more about Factors:

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