Question

Simplify a) 4√28 +3√7​

Answer 1

${ \large{ \sf{ \underbrace{\underline{\bigstar \: Answer}}}}}$

2.67 is the value of $4 \sqrt{28} \div3 \sqrt{7}$

$\large\bf{\underline{\underline{To\: find:}}}$

The value of $4 \sqrt{28} \div 3 \sqrt{7}$

$\large\bf{\underline{\underline{Solution}}}$

We have to find the value of $4 \sqrt{28} \div 3 \sqrt{7}$

$\large\bf{\underline{\underline{Concept}}}$

So first we need to expand the values within the square root and then the square numbers can be taken out and then the equation becomes simplified.

$=\frac{4 \sqrt{28}}{3 \sqrt{7}}$

$=\frac{4 \sqrt{4 \times 7}}{3 \sqrt{7}}$

$\small\textbf\color{orange}{As we know that the value of,}$

[Since, the square root value of 4 is 2]

$=\frac{4 \times 2 \sqrt{7}}{3 \sqrt{7}}$

$=\frac{8 \sqrt{7}}{3 \sqrt{7}}$

$\sqrt{7}$

in the denominator and the numerator place can be cancelled each other.

$\bold{Therefore,}$

$\small\textbf\color{red}{the above equation becomes}$

$=\frac{8}{3}$

$\bold\color{mangeta}{Hence \:the \:value \:of}$

$\color{red}4 \sqrt{28} \div 3 \sqrt{7}$

Thankyou :)

Answer 2

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Answer is 11 root 7