Get the solution to "To multiply: The given expression. Then simplify if..."

Anish Buchanan

Answered question

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})

bahaistag

Skilled2020-11-24Added 100 answers

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

a (b + c) = a b + a c

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 (Applying rule \sqrt[n]{a^{n}} = a

)

\Rightarrow 6

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

Do you have a similar question?

Recalculate according to your conditions!

Didn't find what you were looking for?