Question

Select the expression that is equivalent to: 3 root 1089

Answer 1

First question: A.

Second question: 99

Edgenuit.y2020

Answer 2

Answer:

$3\sqrt{1089}=3\sqrt{3^2(11)^2}$

Step-by-step explanation:

Given : Expression $3\sqrt{1089}$

To find : Select the expression that is equivalent to expression ?

Solution :

Re-write the expression as,

$3\sqrt{1089}=3\sqrt{3\times 3\times 11\times 11}$

$3\sqrt{1089}=3\sqrt{3^2\times 11^2}$

$3\sqrt{1089}=3\sqrt{(3\times 11)^2}$

$3\sqrt{1089}=3\sqrt{(33)^2}$

$3\sqrt{1089}=3\times 33$

$3\sqrt{1089}=99$

The above are the possible equivalent expressions.