Respuesta :

Onibridge

Answer:


Step-by-step explanation:

A = 4 and B = 5

Explanation

Group the same prime factors into pairs

√(2 x 2) x (2 x 2) x 5

Rewrite each pair in exponent form

√2[tex]\sqrt{2^{2} x 2^{2} x 5[/tex]

use the  [tex]\sqrt{2^{2} } = x[/tex] rule

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

simplify

4√5

alinakincsem

Answer:

a = 4

b = 5

Step-by-step explanation:

We are given square root 80 [tex](\sqrt{80} )[/tex] and we are to write it in the form [tex]\sqrt[a]{b}[/tex] and figure out what values are a and b.

First of all, we would find the factors of 80 which, preferably are a square of a number, and when multiplied give a product of 80, which are:

[tex]\sqrt{16}[/tex] × [tex]\sqrt{5}[/tex]

Since [tex]\sqrt{16}[/tex] can further be squared so we can write it as:

[tex]\sqrt{80}[/tex] = [tex]4\sqrt{5}[/tex]

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