Simplify the following: √45 - 3√20 + 4√5
Solution:
Given, √45 - 3√20 + 4√5
We have to simplify the expression.
√45 = √9×5
= 3√5
√20 = √4×5
= 2√5
So, 3√20 = 3(2√5)
= 6√5
Now, √45 - 3√20 + 4√5 = 3√5 - 6√5 + 4√5
= √5(3 - 6 + 4)
= √5(7 - 6)
= √5
Therefore, √45 - 3√20 + 4√5 = √5
✦ Try This: Simplify: 4√3 + 6√27
Given, the expression is 4√3 + 6√27
We know that √27 = √9 × 3 = 3√3
So we can write 6√27 = 6(3√3) = 18√3
We have to simplify the expression.
4√3 + 6√27 = 4√3 + 18√3
= √3(4 + 18)
= 22√3
Therefore, 4√3 + 6√27 = 22√3
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 1
NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 9(i)
Simplify the following: √45 - 3√20 + 4√5
Summary:
Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The simplified form of the expression √45 - 3√20 + 4√5 is √5
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