Question

Question Progress
1272
Simplify the following surds
a) 18
b) 12
c) 32
Will mark brainliest answer ​

Answer 1

Answer:

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FACTS TO KNOW BEFORE SOLVING :-

• To simplify a surd , ensure that the number is expressed in such a way that it is the product of factors.
• Try to express the number as the product of 2 or more perfect squares (if any) because it makes the process of simplifying the surd easier.

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According to the question ,

a) $\sqrt{18} =\sqrt{9 \times 2} = \sqrt{9} \times \sqrt{2} = 3\sqrt{2}$

b) $\sqrt{12} =\sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = 2\sqrt{3}$

c) $\sqrt{32} = \sqrt{16 \times 2} = \sqrt{16} \times \sqrt{2} = 4\sqrt{2}$