Question

Divide 12 x 4 √15 by 8 x 3 √3

Answer 1

the given number is :-
[12*4*(15)^1/2]/[8*3*(3)^1/2]
=[2*2*3*2*2(15)^1/2]/[2*2*2*3*(3)^1/2]
=[2(15)^1/2]/3^1/2
=[2(3*5)^1/2/3^1/2
=[2*3^1/2*5^1/2]/3^1/2
=[2*5^1/2]
=2(5)^1/2


Hope this helped u :-)

Answer 2

Given:

12 x 4 √15 by 8 x 3 √3 = (12 × 4√15)/(8 × 3√3)

                                      = $\frac{12 \times 4\sqrt{15}}{8 \times 3 \sqrt{3}}$

Find:

The value of  $\frac{12 \times 4\sqrt{15}}{8 \times 3 \sqrt{3}}$.

Answer:

(12 × 4√15) by (8 × 3√3) = $\frac{12 \times 4\sqrt{15}}{8 \times 3 \sqrt{3}}$ = 2√5 = 4.472

Solution:

(12 × 4√15)/(8 × 3√3) = $\frac{12 \times 4\sqrt{15}}{8 \times 3 \sqrt{3}}$

                                  $= \frac{48\sqrt{15} }{24\sqrt{3} } \\\\= \frac{48\sqrt{5\times 3} }{24\sqrt{3} } \\\\= \frac{48\sqrt{5} \sqrt{3} }{24\sqrt{3} }\\\\= \frac{48\sqrt{5}}{24}\\\\= 2 \sqrt{5} \\\\= 2 \times 2.236\\\\= 4.472$

Hence, (12 × 4√15)/(8 × 3√3) = $\frac{12 \times 4\sqrt{15}}{8 \times 3 \sqrt{3}}$ = 2√5 = 4.472

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