Simplify completely the radical expression sqrt(735)

Write your answer as a number a*sqrt(b).

What is the sum of a and b?

Respuesta :

Answer:

Simplifying the radical expression [tex]\sqrt{735}[/tex] we get  [tex]\mathbf{7\sqrt{15}}[/tex]

Write your answer as a number a*sqrt(b)

[tex]\mathbf{7\sqrt{15}}[/tex]

What is the sum of a and b?

We can't find the sum of a and b.

Step-by-step explanation:

We need to simplify completely the radical expression [tex]\sqrt{735}[/tex]

First we need to find prime factors of 735

Prime factors of 735 are: 3x5x7x7

Solving:

[tex]\sqrt{735}\\=\sqrt{3\times 5 \times 7 \times 7} \\=\sqrt{3\times 5 \times 7^2}\\=\sqrt{7^2}\sqrt{3\times 15}\\=7\sqrt{15}[/tex]

So, simplifying the radical expression [tex]\sqrt{735}[/tex] we get  [tex]\mathbf{7\sqrt{15}}[/tex]

Write your answer as a number a*sqrt(b)

[tex]\mathbf{7\sqrt{15}}[/tex]

What is the sum of a and b?

We can't find the sum of a and b.

Q&A Education