What is the simplified form of StartRoot 100 x Superscript 36 Baseline EndRoot ? 10x Superscript 18 10x Superscript 6 50x Superscript 18 50x Superscript 6

Question

asked Dec 4, 2021 143k views

1 Answer

Pierre Henry · Answer 1 · 2021-12-08T19:12:32+0000

Given:

The given expression is
$\sqrt{100 x^(36)}$

We need to determine the simplified form of the expression.

Simplified form of the expression:

Let us determine the simplified form of the expression.

Applying the rule,
$\sqrt[n]{a b}=\sqrt[n]{a} \sqrt[n]{b}$

We get;

$√(100) \sqrt{x^(36)}$

Simplifying, we get;

$10 \sqrt{x^(36)}$

Applying the exponent rule,
$a^(b c)=\left(a^(b)\right)^(c)$ , we have;

$10 \sqrt{\left(x^(18)\right)^(2)}$

Simplifying, we get;

10 x^(18)

Thus, the simplified form of the expression is
10 x^(18)

Hence, Option A is the correct answer.