Mixed Surds Skills

True or False?

 $\sqrt{a}\times\sqrt{b}\equiv\sqrt{a\times b}$  

• True

• False

True or False?

 $\sqrt{a}+\sqrt{b}\equiv\sqrt{a+b}$  

• True

• False

Simplify the following surd...

• 3√2

• 2√3

• 9√2

• 3√6

Simplify the following surd...

• 6√2

• 2√6

• 8√2

• 4√6

Expand and simplify.....

√3(√2 + 4)

• √6 + 4√3

• √6 + 3√3

• 3√2 + 3√4

• 2√3 + 4√3

Tags

CCSS.HSN.RN.A.2

Expand and simplify.....

√3(√2 + √3)

• √6 + 3

• √6 + 3√3

• √6 + 3√9

• √6 + √9

Tags

CCSS.HSN.RN.A.2

Expand and simplify.....

√5(3√2 - √5)

• 3√10 - 5

• 3√10 - √25

• 2√15 - √25

• 2√15 - 5

Expand and simplify ...

(2 + √3)(1 + √3)

• 5 + 3√3

• 2 + 3√3

• 5 + √3

• 11 + 3√3

Tags

CCSS.HSN.RN.A.2

Expand and simplify ...

(2 + √3)(3 + √3)

• 9 + 5√3

• 6 + 6√3

• 9 + √3

• 15 + 5√3

Tags

CCSS.HSN.RN.A.2

True or False?

 $\sqrt{5}$  is a surd

• True

• False

Tags

CCSS.8.NS.A.1