The correct option is B TrueThe expression a√(b) + c√(b) = (a+c)√(b) is true. Take an example of 5√(2) + 8√(2) = (5+8)√(2) Like surds can be added together. Si ...

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Byju's Answer

Standard IX

Mathematics

Addition and Subtraction of Like and Unlike Surds

a √b+c √b=a+c...

Question

$a \sqrt{b} + c \sqrt{b} = (a + c) \sqrt{b}$ .

True

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False

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Solution

The correct option is A True
The expression $a \sqrt{b} + c \sqrt{b} = (a + c) \sqrt{b}$ is true. Take an example of $5 \sqrt{2} + 8 \sqrt{2} = (5 + 8) \sqrt{2}$
Like surds can be added together. Since the given numbers are like surds, they can be added.

Suggest Corrections

a√b+c√b=(a+c)√b.

The correct option is A TrueThe expression a√b+c√b=(a+c)√b is true. Take an example of 5√2+8√2=(5+8)√2 Like surds can be added together. Since the given numbers are like surds, they can be added.

$a \sqrt{b} + c \sqrt{b} = (a + c) \sqrt{b}$ .

The correct option is A True
The expression $a \sqrt{b} + c \sqrt{b} = (a + c) \sqrt{b}$ is true. Take an example of $5 \sqrt{2} + 8 \sqrt{2} = (5 + 8) \sqrt{2}$
Like surds can be added together. Since the given numbers are like surds, they can be added.