Q. 2

# State which of the following are surds. Justify.

i. ii.

iii. iv.

v. vi.

Answer :

**Surds** are numbers left in root form (√) to express its exact value. It has an infinite number of non-recurring decimals. Therefore, surds are irrational numbers.

Therefore,

_{i.}

It is a surd ∵ it cannot be expressed as a rational number.

_{ii.}

It is a surd ∵ it cannot be expressed as a rational number.

_{iii.}

It is a surd ∵ it cannot be expressed as a rational number.

_{iv.} _{√256 = √16}^{2} = 16

It is not a surd ∵ it is a rational number.

_{v.}

It is not a surd ∵ it is a rational number.

vi.

It is a surd ∵ it cannot be expressed as a rational number.

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Which of the following is not a surd?

MHB - Math Part-IWhat is the order of the surd ?

MHB - Math Part-IClassify the given pair of surds into like surds and unlike surds.

i. √52, 5√13

ii. √68, 5√3

iii. 4√18, 7√2

iv. 19√12, 6√3

v. 5√22, 7√33

vi. 5√5, √75

MHB - Math Part-ICompare the following pair of surds.

i. 7√2, 5√3

ii. √247, √274

iii. 2√7, √28

iv. 5√5, 7√2

v. 4√42, 9√2

vi. 5√3, 9

vii. 7, 2√5

MHB - Math Part-ISimplify the following surds.

i. √27

ii. √50

iii. √250

iv. √112

v. √168

MHB - Math Part-IState the order of the surds given below.

i. ii.

iii. iv.

v.

MHB - Math Part-IMultiply and write the answer in the simplest form.

i. 3√12 × √18

ii. 3√12 × 7√15

iii. 3√8 × √5

iv. 5√8 × 2√8

MHB - Math Part-IState which of the following are surds. Justify.

i. ii.

iii. iv.

v. vi.

MHB - Math Part-IDivide, and write the answer in simplest form.

i. √98 ÷ √2

ii. √125 ÷ √50

iii. √54 ÷ √27

iv. √310 ÷ √5

MHB - Math Part-ISimplify.

i. 5√3 + 8√3

ii. 9√5 – 4√5 + √125

iii. 7√48 – √27 – √3

iv.

MHB - Math Part-I