Question

Which is a like radical to 3 square root 54 after simplifying?

Answer 1

Simplify $\sqrt[3]{54}$

First we write prime factor for 54

$\frac{54}{2}$ = 27

$\frac{27}{3}$ = 9

$\frac{9}{3}$ = 3

So 54 = 2 * 3 * 3 * 3

we know $\sqrt[3]{3 * 3 * 3}$ = 3

$\sqrt[3]{54}$ = $\sqrt[3]{2 * 3 * 3 * 3}$

= 3 * $\sqrt[3]{2}$

= 3$\sqrt[3]{2}$

Answer 2

Radical are terms that contain power {order}. The radical that is equal to ∛54 is 3∛2.

What is radical?

The radical is the '√' symbol that denotes the root or nth root. Similarly, an expression that contains roots is known as the radical expression.

Given to us

∛54

We need to find the radical that is similar to ∛54, we need to break down the radicand 54, into smaller numbers, therefore, take the LCM of the number,

54 = 2 x 3 x 3 x 3

As we are taking the cube root, therefore, we need numbers that are repeating thrice.

Thus, the radical can be written as,

$\sqrt[3]{54} = \sqrt[3]{2 \times 3 \times 3 \times 3}\\\\\sqrt[3]{54} = 3\sqrt[3]{2}$

Hence, the radical that is equal to ∛54 is 3∛2.

Learn more about Radical:

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