Respuesta :

[tex] \sqrt{45} + \sqrt{18} [/tex]

  • Let us write the expressions with their factors.

[tex] = \sqrt{3 \times 3 \times 5} + \sqrt{2 \times 3 \times 3} \\ = \sqrt{ {3}^{2} \times 5 } + \sqrt{ {3}^{2} \times 2 } [/tex]

  • Here, square root and the square of [tex] {3}^{2} [/tex] will get cancelled out.

[tex] = 3 \sqrt{5} + 3 \sqrt{2} [/tex]

  • Now, take 3 as common.

[tex] = 3( \sqrt{5} + \sqrt{2} )[/tex]

Answer:

[tex]3( \sqrt{5} + \sqrt{2} )[/tex]

Hope you could understand.

If you have any query, feel free to ask.