Question

Find the value of
3√3×2√3=

Answer 1

=3√3×2√3

The multiplication of √3and√3 would give us 3...

Thus..

=6×3

=18

Answer 2

ANSWER

Given =>$3\sqrt3\times2\sqrt3$

Now, 3×2$(\sqrt3\times\sqrt3)$

Now by using the law of indices =>

6$(\sqrt{3})^2$

=>6$(3)^{2\times1/2}$

=>6×3

=>18.

Hence the value of the given expression is 18.

Remember

Laws of Indices

1)$a^{n} \times a^{m}$=$a^{m+n}$

2)$a^{m}\div a^{n}= a^{m-n}$

3)${a^m }^n= a^{mn}$

4)$a^{0}$ = 1

5)$(\dfrac{a}{b})^n= \dfrac{{a}^n}{{b}^n}$

6)$a^{-1}$=$\dfrac{1}{a}$

7)$a^{x/y}$=${y\sqrt{a}}^x$