Anish Buchanan

2020-11-23

To multiply:

The given expression. Then simplify if possible. Assume that all variables represent positive real numbers.

Given:

An expression:$\sqrt{3}(\sqrt{27}-\sqrt{3})$

The given expression. Then simplify if possible. Assume that all variables represent positive real numbers.

Given:

An expression:

bahaistag

Skilled2020-11-24Added 100 answers

Calculation:

To find the product of given expression, we will use distributive property

$a(b+c)=ab+ac$ as shown below:

$\sqrt{3}(\sqrt{27}-\sqrt{3})$ (Given expression)

$\Rightarrow \sqrt{3}\times \sqrt{27}-\sqrt{3}\times \sqrt{3}$ (Using distributive property)

$\Rightarrow \sqrt{3\times 27}-\sqrt{3\times 3}$ (Applying rule root(n)a xx root(n)b = root(n)(ab))

$\Rightarrow \sqrt{81}-\sqrt{9}$

$\Rightarrow \sqrt{{9}^{2}}-\sqrt{{3}^{2}}$

$\Rightarrow 9-3\text{}\text{(Applying rule}\text{}{\displaystyle \sqrt[n]{{a}^{n}}=a}$ )

$\Rightarrow 6$

Therefore, the product of the given expressions would be 6.

To find the product of given expression, we will use distributive property

Therefore, the product of the given expressions would be 6.

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