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3 years ago

Combine and simplify these radicals. √8* √ 20

Mathematics

2 answers:

guapka [62]3 years ago

8 0

Answer:

4√10

Step-by-step explanation:

√(8) √(20)

= √(8 x 20)

= √(160)

= √(16 x 10)

= √(16) x √(10)

= 4 x √10

= 4√10

Natasha2012 [34]3 years ago

4 0

Answer:

4 $\sqrt{10}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Given

$\sqrt{8}$ × $\sqrt{20}$

= $\sqrt{8(20)}$

= $\sqrt{160}$

= $\sqrt{16(10)}$

= $\sqrt{16}$ × $\sqrt{10}$

= 4 $\sqrt{10}$

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