Question

Simplify:7√48-√27-√3

Answer 1

Answer:

Step-by-step explanation:

7√(2*2*2*2*3)-3√3-√3

28√3-4√3

24√3

Answer 2

Answer:

The value of 7√48-√27-√3 = 24√3

Step-by-step explanation:

Surds:

• Surds are the square root of number which cannot be simplified into whole numbers or rational numbers.
• Surds are also defined as the irrational numbers.
• Examples: √2, √3, √5, 2√3.....

Types of surds:

• There are different types of surds. Some of them are mentioned below
• Simple surds, Mixed surds, Pure surds, Similar surds.

Given expression is

7√48-√27-√3 -----------------(a)

The value of √48 = √2.2.2.2.3 = 4√3

The value of √27 = √3.3.3 = 3√3

Now we will substitute the above values in (a)

7(4√3)-3√3-√3

by substituting the values of √48 and √27 expression is transformed into like surds.

So, we can apply subtraction of surds by taking common.

7(4√3)-3√3-√3 = 28√3-3√3-√3

= √3(28-3-1)

= 24√3

Hence, the value of 7√48-√27-√3 = 24√3

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