Question

classify the following number as rational or irrational: 3√7+4√49-√63​

Answer 1

Answer:

Rational

Step-by-step explanation:

3√7 + 4√49 - √63

First, try to find the factors of all the numbers

⇒ 3√7 + (2x2)(√7x7) - (√3x3x7)

Now, we have

⇒3√7 + (4)(7) - 3√7

⇒3√7 + 28 - 3√7

By rearranging the terms,

⇒ 3√7 - 3√7 + 28

⇒ 28

Since 28 is rational number, 3√7 + 4√49 - √63 is rational

Hope this helped!