Question

Simplify 3√48-4√75+5√192

Answer 1

Answer:17√3

Hope you understand

If there is a perfect square inside the root

it will come out

For example : √4=√2²=2, √28=√2²×7=2√7

Square root of 48 is 4 times √3

Square root of 75 is 5 times √3

Square root of 192 is 8 times √3

If the number inside the root is equal

we can add them

4×√3+5×√3+8×√3

4 plus 5 plus 8 is 17

CONCLUSION

17√3 is the answer

Answer 2

SIMPLIFY:

$3 \sqrt{48 - 9} \sqrt{75 + 9} \sqrt{192}$

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SOLUTION:

$3 \sqrt{48 - 9} \sqrt{75 + 9} \sqrt{192}$

= $3 \sqrt{39} \sqrt{75 + 9} \sqrt{192}$

= $\sqrt[3]{39} \sqrt{80} \sqrt{192}$

= $\sqrt[3]{39} \times 4 \sqrt{5} \sqrt{192}$

= $\sqrt[3]{39} \times 4 \sqrt{5} 8 \sqrt{3}$

= $4 \times 8 \ \sqrt[3]{39} \sqrt{5 \times 3}$

= $4 \times 8 \sqrt[3]{39} \sqrt{15}$

= $32 \sqrt[3]{39} \sqrt{15}$

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ANSWER:

$32 \sqrt[3]{39} \sqrt{15}$