Question

Which statement is true about the product square root of 2(5 + square root of 8)?

It is rational and equal to 7.

It is rational and equal to 9.

It is irrational and equal to 4 + square root of 10.

It is irrational and equal to 4 + 5square root of 2.

Answer 1

@geerky42

Answer 2

@YanaSidlinskiy

Answer 3

@mathmale

Answer 4

\[\sqrt{2}(5+\sqrt{8}) \] That's the equation

Answer 5

well just distribute

\[\sqrt{2}(5 + \sqrt{8} = 5 \times \sqrt{2} + \sqrt{2} \times \sqrt{8}\]

you need to know a rule for radicals

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

hope it helps

Answer 6

how do you know whats a or b

Answer 7

?

Answer 8

which one is it

Answer 9

@iambatman

Answer 10

a little help?

Answer 11

if you apply the rule to

\[\sqrt{2} \times \sqrt{8} = \sqrt{ 2 \times 8}\]

Answer 12

you need to evaluate this


and

\[\sqrt{2} \times 5 = 5\sqrt{2}\]

now combine you're answers with a +