Question

What is the simplified form of StartRoot 144 x Superscript 36 Baseline EndRoot? 12x6 12x18 72x6 72x18

Answer 1

GIVEN :

The expression is $\sqrt{144x^{36}}$

TO FIND :

The simplified form of the given expression

SOLUTION :

Given expression is $\sqrt{144x^{36}}$

Now solving the given expression $\sqrt{144x^{36}}$ as below:

$\sqrt{144x^{36}}$

The property of square root is given by:

$\sqrt{ab}=\sqrt{a}\times \sqrt{b}$

$=\sqrt{144}\times \sqrt{x^{36}}$

$=12\times \sqrt{x^{6.6}}$

By using the exponent property

$a^{mn}=a^m.a^n$

$=12\times \sqrt{x^6.x^6}$

$=12\times x^6$

$=12x^6$

∴ $\sqrt{144x^{36}}=12x^6$

Hence option A) $12x^6$ is correct

∴ the simplified form of the given expression $\sqrt{144x^{36}}$ is $12x^6$

Answer 2

Answer:

12x18 or the second one

Step-by-step explanation:

Hope it helps