Question

3√2 . 4√2 . 12√32 . simplify the product

Answer 1

Plz c the attachment

Answer 2

Answer:

simplification is $1152\sqt2$

Step-by-step explanation:

we have to simplify the product

$3\sqrt{2}\times 4\sqrt2\times 12\sqrt{32}$

Now,

$3\sqrt{2}\times 4\sqrt2\times 12\sqrt{32}$

$=3(2)^{\frac{1}{2}}\times 4(2)^{\frac{1}{2}}\times 12(32)^{\frac{1}{2}}$

As, $x^ax^b=x^{a+b}$

$=3\times 4\times 12\times 2^{\frac{1}{2}+\frac{1}{2}}.(16\times 2)^{\frac{1}{2}}$

$=144\times 2(4\sqrt2}=1152\sqrt2$

Hence, simplification is $1152\sqt2$