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2 years ago

Simplify the surd 3√ 20 +√ 45

Mathematics

2 answers:

vagabundo [1.1K]2 years ago

4 0

9/- 7dndusjjsjddkkdkdksksjdid

melisa1 [442]2 years ago

3 0

Answer:

9 $\sqrt{5}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplify the radicals

$\sqrt{20}$

= $\sqrt{4(5)}$

= $\sqrt{4}$ × $\sqrt{5}$

= 2 $\sqrt{5}$

$\sqrt{45}$

= $\sqrt{9(5)}$

= $\sqrt{9}$ × $\sqrt{5}$

= 3 $\sqrt{5}$

Then

3 $\sqrt{20}$ + $\sqrt{45}$

= 3(2 $\sqrt{5}$ ) + 3 $\sqrt{5}$

= 6 $\sqrt{5}$ + 3 $\sqrt{5}$

= 9 $\sqrt{5}$

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Zepler [3.9K]

Answer:

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Step-by-step explanation:

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3 years ago

Can someone plssssss help me

ozzi

Answer:

Mathematics includes the study of such topics as quantity, structure, space, and change. It has no generally accepted definition. Mathematicians seek and use patterns to formulate new conjectures; they resolve the truth or falsity of such by mathematical proof.

Step-by-step explanation:

Mathematics is the study of numbers, shapes and patterns. The word comes from the Greek word "μάθημα" (máthema), meaning "science, knowledge, or learning", and is sometimes shortened to maths (in England, Australia, Ireland, and New Zealand) or math (in the United States and Canada). ... Numbers: how things can be counted.

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Simplify the surd 3√ 20 +√ 45 ​

Simplify the surd 3√ 20 +√ 45