Question

questions attachment in reply. Please help me.

Answer 1

which one

Answer 2

rationalising the denominator means multiply by a term that eliminates the radical in the denominator

in this question multiply by

\[\frac{\sqrt{180y}}{\sqrt{180y}}\]


so the problem is now

\[\frac{2\sqrt{108}}{\sqrt{180y}} \times \frac{\sqrt{180y}}{\sqrt{180y}}\]

the rule for multiplying square roots is

\[\sqrt{a}\times \sqrt{b}=\sqrt{ab}\]

the denominator will become

\[\frac{2\sqrt{108}\times \sqrt{180y}}{180y}\]

you can finish the simplification.

Answer 3

2sqrt108\sqrt(180y)
=sqrt4*sqrt108\sqrt(180y)
=sqrt432\sqrt(180y)
=sqrt(432\180y)
=sqrt(2.4\y)
=sqrt2.4\sqrt y
=sqrt2.4*sqrt y\sqrt y *sqrt y
=sqrt2.4y\y

Answer 4

sqrt is square root

Answer 5

here's another
2sqrt5+3sqrt7
=sqrt4sqrt5+sqrt9sqrt7
=sqrt20+sqrt63

Answer 6

yes it is sry

Answer 7

4sqrt6\sqrt30
=sqrt16sqrt6\sqrt30
=sqrt3.2

=sqrt(16\5)
=4\sqrt5
=4*sqrt5\5