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3 years ago

Hey can anyone help plz?

1 answer:

8 0

We have been given an expression $2\sqrt{28} -5\sqrt{63}$ and we are asked to find correct option from the given choices.

Let us simplify our expression.

$2\sqrt{28} -5\sqrt{63}$

First of all we will take out perfect squares from our radical.

$2\sqrt{7\cdot4} -5\sqrt{7\cdot9}$

$2\sqrt{4} \cdot\sqrt{7} -5\sqrt{9} \cdot\sqrt{7}$

$2\cdot2\sqrt{7} -5\cdot3\sqrt{7}$

$4\sqrt{7} -15\sqrt{7}$

$-11\sqrt{7}$

Our expression simplifies to $-11\sqrt{7}$ , therefore, option C is the correct choice.

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Step-by-step explanation:

Given : Expression $\ln(\frac{4y^5}{x^2})$

To find : Expand each expression ?

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Using logarithmic properties,

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Using logarithmic property, $\logx^a=a\log x$

$\ln(\frac{4y^5}{x^2})=\ln 4+5\ln y-2\ln x$

Therefore, option B is correct.

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