How should I solve this Algebra problem.....?

Question

1 square root of 5 (3 square roots of 2 + 1 square root of 4)

Explain please.

Answer 1

It sounds like you just need to simplify it. First of all you can say square root of 4 is 2 then just distribute the square root of 5. I don't think you can simplify more after that, so it's like 3 radical 10 plus 2 radical 5

Answer 2

Solve it this way:

Distribute √5 to each term inside the parentheses, but first, since √4 = 2, we can substitute 2 for √4. Then √5 (3√2 + √4)becomes:

√5 (3√2 + 2)

Now distribute √5:

√5 (3√2) + √5 (2)

When we multiply two radicals together we multiply the numbers under the radical sign together and take the square root of their product. So √5 (3√2) = 3 (√(5 x 2) = 3√10. The last sum above then can be rewritten as:

3√10 + 2√5, which is the final form of the expression.