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VladimirAG [237]
3 years ago
8

What is the simplified form of square root of 144x^36?

Mathematics
2 answers:
Anna11 [10]3 years ago
6 0

Answer:

Option (b) is correct.

Expression becomes =12x^{18}

Step-by-step explanation:

Given : square root of 144x^{36}

We have to write the given expression in simplified form.

Consider the given expression square root of 144x^{36}

Mathematically written as \sqrt{144x^{36}}

\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},

We have,

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

We know \sqrt{144}=12

=12\sqrt{x^{36}}

\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad \mathrm{\:assuming\:}a\ge 0

\sqrt{x^{36}}=x^{\frac{36}{2}}=x^{18}

Thus, Expression becomes =12x^{18}

trasher [3.6K]3 years ago
3 0

Answer:

The correct option is B.

Step-by-step explanation:

The given expression is

\sqrt{144x^{36}}

Use the property of radicals.

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

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

Use the property of exponent.

a^{mn}=(a^m)^n

\sqrt{144x^{36}}=12\times \sqrt{(x^{18})^2}

\sqrt{144x^{36}}=12\times x^{18}

\sqrt{144x^{36}}=12x^{18}

Therefore option B is correct.

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