Q. 74.4( 28 Votes )

# Multiply 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

Answer :

i. 3√12 × √18

3√12 × √18 = 3√(2 × 2 × 3) × √(2 × 3 × 3)

⇒3√12 × √18 = 3 × 2√3 × 3√2

⇒ 3√12 × √18 = 6√3 × 3√2

⇒ 3√12 × √18 = 18√6

ii. 3√12 × 7√15

3√12 × 7√15 = 3√(2 × 2 × 3) × 7√(3 × 5)

⇒3√12 × 7√15 = 3 × 2√3 × 7√(3 × 5)

⇒3√12 × 7√15 = 3 × 2 × 7 × √(3 × 3 × 5)

⇒3√12 × 7√15 = 3 × 2 × 7 × 3√5

⇒ 3√12 × 7√15 = 126√5

iii. 3√8 × √5

3√8 × √5 = 3√(2 × 2 × 2) × √5

⇒3√8 × √5 = 3 × 2√2 × √5

⇒ 3√8 × √5 = 3 × 2 ×√(2 × 5)

⇒ 3√8 × √5 = 6√10

iv. 5√8 × 2√8

5√8 × 2√8 = 5√(2 × 2 × 2) × 2√(2 × 2 × 2)

⇒5√8 × 2√8 = 5 × 2√2 × 2 × 2√2

⇒ 5√8 × 2√8 = 5 × 2 × 2 × 2 ×√(2 × 2)

⇒ 5√8 × 2√8 = 5 × 2 × 2 × 2 × 2

⇒ 5√8 × 2√8 = 80

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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-IState which of the following are surds. Justify.

i. ii.

iii. iv.

v. vi.

MHB - Math Part-ISimplify.

i. 5√3 + 8√3

ii. 9√5 – 4√5 + √125

iii. 7√48 – √27 – √3

iv.

MHB - Math Part-ISimplify the following surds.

i. √27

ii. √50

iii. √250

iv. √112

v. √168

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 the order of the surds given below.

i. ii.

iii. iv.

v.

MHB - Math Part-I