Question

find the squar root of each of the following by prime factorisation .(i)225

Answer 1

$225 = 5 {}^{2} \times 3 {}^{2} \\ \sqrt{225 } = 5 \times 3 \\ = 15$

Answer 2

$your \: \: answer$

$\frac{5 | 225}{ \frac{5 |45}{ \frac{3 |9}{ \frac{3 |3}{ \: \: \: 1} } } }$

$225 = 5 \times 5 \times 3 \times 3 \\ \\ \: \: \: \: \: \: \: \: = 5 {}^{2} \times 3 {}^{2}$

$\sqrt{225} = \sqrt{5 { }^{2} \times 3 {}^{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: = 5 \times 3 \\ \\ \: \: \: \: \: \: \: \: \: \: \: = 15$