Question

find the value of 3/4√2×-1/2√3×2√3​

Answer 1

Answer:

$\frac{3}{4\sqrt{2}}-\frac{1}{2\sqrt{3}\times 2\sqrt{3}}=\frac{9\sqrt{2}-2}{24}$

Step-by-step explanation:

$\frac{3}{4\sqrt{2}}-\frac{1}{2\sqrt{3}\times 2\sqrt{3}}$

$=\frac{3\sqrt{2}}{4\sqrt{2}\times \sqrt{2}}-\frac{1}{12}$

$=\frac{3\sqrt{2}}{8}-\frac{1}{12}$

$=\frac{9\sqrt{2}-2}{24}$

Therefore,

$\frac{3}{4\sqrt{2}}-\frac{1}{2\sqrt{3}\times 2\sqrt{3}}=\frac{9\sqrt{2}-2}{24}$

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Answer 2

-$\frac{1}{4}$  is the answer.

Step-by-step explanation:

$\frac{3}{4\sqrt{2} }$ ×- $\frac{1}{2\sqrt{3}* 2\sqrt{3} }$

Multiplying $\sqrt{2}$ with both numerator and denominator:

$\frac{3\sqrt{2} }{4\sqrt{2}*\sqrt{2} }$ ×- $\frac{1}{2\sqrt{3}* 2\sqrt{3} }$

$\frac{3\sqrt{2} }{4*2}$ ×- $\frac{1}{2\sqrt{3}* 2\sqrt{3} }$

$\frac{3\sqrt{2} }{8}$ ×- $\frac{1}{4*3}$

-$\frac{\sqrt{2} }{32}$

The factors of 32 are 2×2×2×2×2

-$\frac{\sqrt{2} }{\sqrt{2*2}*\sqrt{2*2}*\sqrt{2} }$

-$\frac{\sqrt{2} }{2*2*\sqrt{2} }$

-$\frac{\sqrt{2} }{4\sqrt{2} }$

-$\frac{1}{4}$