Question

simplify 3 root 75 + 5 root 48 - root 243​

Answer 1

Answer:

9 root 3

Step-by-step explanation:

3 root 75 + 5 root 48 - root 243

= 3 root (3 x 5 x 5) + 5 root (2 x 2 x 2 x 2 x 3) - root (3 x 3x 3 x 3 x 3)

= (3 x 5) root 3 + (5 x 2 x 2) root 3 - (3 x 3) root 3

= 15 root 3 + 20 root 3 - 9 root 3

= (15 + 3 - 9) root 3

= 9 root 3

Answer 2

$26 \sqrt{3}$

Step-by-step explanation:

$3 \sqrt{75} + 5 \sqrt{48} - \sqrt{243} \\ \\ = 3 \sqrt{3 \times 25} + 5 \sqrt{3 \times 16} - \sqrt{3 \times 81} \\ \\ = 3 \times 5 \sqrt{3} + 5 \times 4 \sqrt{3} - 9 \sqrt{3} \\ \\ = 15 \sqrt{3} + 20 \sqrt{3} - 9 \sqrt{3} \\ \\ = 26 \sqrt{3}$

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