Multiplying Radicals Practice

When multiplying radicals, multiply the coefficient with ​ (a)   and the radicand with ​ (b)   , the ​ (c)   if needed.

• the coefficient
• the radicand
• simplify

Answer explanation

When multiplying radicals, multiply the coefficient with the coefficient and the radicand with the radicand, then simplify if needed.

Answer explanation

To multiply and simplify √20 * √5, combine the radicals to get √(20*5) = √100 = 10. Therefore, the correct answer is 10.

Answer explanation

To multiply and simplify √6 and √15, we get √(6*15) = √90 = 3√10. Therefore, the correct choice is 3√10.

Answer explanation

The correct equivalent expressions are 26√3 and 2√507. To simplify, √13 * 2√39 = 2√(13*39) = 2√507.

Answer explanation

To simplify -2√3 * 4√18, first multiply the coefficients (-2 * 4 = -8). Then multiply the radicals (√3 * √18 = √54). Finally, simplify √54 to 3√6. Therefore, the equivalent expressions are -24√6, -2*4√3*18, and -8√54.

Tags

CCSS.HSN.RN.A.2

Answer explanation

To find the area of a rectangle, multiply the length by the width. Simplify the expression to get 18√10, which is the correct choice.

Mathematical Equivalence

OFF

Mathematical Equivalence

ON

Tags

CCSS.HSN.RN.A.2

Answer explanation

The equivalent forms are the square root of 48x^11y^7 and 4x^5y^3 times the square root of 3xy, which match the given expression.

Tags

CCSS.HSN.RN.A.2

Answer explanation

This is the explanation of the answer.

Tags

CCSS.HSN.RN.A.2