For example, √12 can be simplified as √(4 x 3) = 2√3.

For example, √a x √b = √(ab).

For example, √a ÷ √b = √(a/b).

For example, ∛54 can be simplified as ∛(27 x 2) = 3∛2.

For example, ∛a x ∛b = ∛(ab).

For example, ∛a ÷ ∛b = ∛(a/b).

Simplify √(16) + √(9).

Solution:

√(16) = 4 (since the square root of 16 is 4)

√(9) = 3 (since the square root of 9 is 3)

Therefore, √(16) + √(9) = 4 + 3 = 7.

Requested by: Shahbaz

Simplify √(25) – √(4).

Solution:

√(25) = 5 (since the square root of 25 is 5)

√(4) = 2 (since the square root of 4 is 2)

Therefore, √(25) – √(4) = 5 – 2 = 3.

Requested by: Shahbaz

Simplify √(49) + √(64) – √(36).

Solution:

√(49) = 7 (since the square root of 49 is 7)

√(64) = 8 (since the square root of 64 is 8)

√(36) = 6 (since the square root of 36 is 6)

Therefore, √(49) + √(64) – √(36) = 7 + 8 – 6 = 9.

Requested by: Shahbaz

Simplify √(121) – √(144) + √(169).

Solution:

√(121) = 11 (since the square root of 121 is 11)

√(144) = 12 (since the square root of 144 is 12)

√(169) = 13 (since the square root of 169 is 13)

Therefore, √(121) – √(144) + √(169) = 11 – 12 + 13 = 12.

Requested by: Shahbaz

Simplify √(36) + √(81) – √(64) + √(49).

Solution:

√(36) = 6 (since the square root of 36 is 6)

√(81) = 9 (since the square root of 81 is 9)

√(64) = 8 (since the square root of 64 is 8)

√(49) = 7 (since the square root of 49 is 7)

Therefore, √(36) + √(81) – √(64) + √(49) = 6 + 9 – 8 + 7 = 14.

Requested by: Shahbaz

Simplify √144.

Solution:

√144 = √(12^2) = 12

Requested by: Shahbaz

Simplify √(8√2).

Solution:

√(8√2) = √(2 × 4√2) = √(2 × 2√(2^2)) = √(2 × 2√4) = √(2 × 2 × 2) = √(8) = 2√2

Requested by: Shahbaz

Simplify √(√(81) + √(16)).

Solution:

√(√(81) + √(16)) = √(√(9^2) + √(4^2)) = √(√(9^2) + √(4^2)) = √(√9^2 + √4^2) = √(√9 + √4) = √(3 + 2) = √5

Requested by: Shahbaz

Simplify √(√(27) – √(12)).

Solution:

√(√(27) – √(12)) = √(√(3^3) – √(2^2 × 3)) = √(√3^3 – √2^2 × √3) = √(√3 × 3 – √4 × √3) = √(3√3 – 2√3) = √(√3) = √3

Requested by: Shahbaz

Simplify √7 * √5.

Solution:

√7 * √5 = √(7 * 5) = √35

Requested by: Shahbaz

Simplify 2√3 * 3√2.

Solution:

2√3 * 3√2 = 6√(3 * 2) = 6√6

Requested by: Shahbaz

Simplify (√6 + √2) * (√6 – √2).

Solution:

(√6 + √2) * (√6 – √2) = (√6)^2 – (√2)^2 = 6 – 2 = 4

Requested by: Shahbaz

Simplify (2√3 – √5) * (3√3 + √5).

Solution:

(2√3 – √5) * (3√3 + √5) = (2√3)^2 – (√5)^2 = 4 * 3 – 5 = 12 – 5 = 7

Requested by: Shahbaz

Simplify (√2 + √3)(√2 – √3).

Solution:

(√2 + √3)(√2 – √3) = (√2)^2 – (√3)^2 = 2 – 3 = -1

Requested by: Shahbaz

Simplify √8 * √18.

Solution:

√8 * √18 = √(8 * 18) = √144 = 12

Requested by: Shahbaz

Simplify (√5 – √2)(√5 + √2).

Solution:

(√5 – √2)(√5 + √2) = (√5)^2 – (√2)^2 = 5 – 2 = 3

Requested by: Shahbaz

Simplify (√10 + 3)(√10 – 3).

Solution:

(√10 + 3)(√10 – 3) = (√10)^2 – 3^2 = 10 – 9 = 1

Requested by: Shahbaz

Simplify (√7 + 2√3)(√7 – 2√3).

Solution:

(√7 + 2√3)(√7 – 2√3) = (√7)^2 – (2√3)^2 = 7 – 12 = -5

Requested by: Shahbaz

Simplify √20 / √5.

Solution:

√20 / √5 = (√(4 × 5)) / √5 = (√4 × √5) / √5 = 2

Requested by: Shahbaz

Simplify √27 / √3.

Solution:

√27 / √3 = (√(9 × 3)) / √3 = (√9 × √3) / √3 = 3

Requested by: Shahbaz

Simplify (√18 – √2) / (√2 – √6).

Solution:

(√18 – √2) / (√2 – √6) = [(√(9 × 2)) – (√2)] / [(√2) – (√(3 × 2))] = [(√9 × √2) – (√2)] / [(√2) – (√3 × √2)] = [3√2 – √2] / [√2 – √(3 × 2)] = 2

Requested by: Shahbaz

Simplify (√15 + √5) / (√3 + √5).

Solution:

(√15 + √5) / (√3 + √5) = [(√(3 × 5)) + √5] / [(√3) + √5] = [(√3 × √5) + √5] / [√3 + √5] = [√15 + √5] / [√3 + √5] = 1

Requested by: Shahbaz

Simplify (√8 – √2) / (√2 + √6).

Solution:

(√8 – √2) / (√2 + √6) = [(√(4 × 2)) – (√2)] / [(√2) + (√(3 × 2))] = [(√4 × √2) – (√2)] / [√2 + √(3 × 2)] = [2√2 – √2] / [√2 + √(3 × 2)] = √2

Requested by: Shahbaz

Simplify ∛64.

Solution:

∛64 = 4

Requested by: Shahbaz

Simplify ∛(-125).

Solution:

∛(-125) = -5

Requested by: Shahbaz

Simplify ∛(2∛(27)).

Solution:

∛(2∛(27)) = ∛(2∛(3^3)) = ∛(2∛27) = ∛(2∛(3^3)) = ∛(2∛3^3) = ∛(2∛27) = ∛(2∛(3^3)) = ∛(2∛3^3) = ∛(2 * 3) = ∛6

Requested by: Shahbaz

Simplify ∛(∛(64) + ∛(8)).

Solution:

∛(∛64 + ∛8) = ∛(∛(4^3) + ∛(2^3)) = ∛(∛4^3 + ∛2^3) = ∛(∛4 + ∛2) = ∛(∛(2^2) + ∛(2)) = ∛(2 + ∛2) = ∛(2 + 1) = ∛3

Requested by: Shahbaz

Simplify ∛(∛(27) – ∛(125)).

Solution:

∛(∛27 – ∛125) = ∛(∛(3^3) – ∛(5^3)) = ∛(∛3^3 – ∛5^3) = ∛(∛3 – ∛5) = ∛(∛(3^2) – ∛(5)) = ∛(∛9 – ∛5) = ∛(2 – ∛5)

Requested by: Shahbaz

Simplify ∛8 * ∛4.

Solution:

∛8 * ∛4 = ∛(2^3) * ∛(2^2) = 2 * 2 = 4

Requested by: Shahbaz

Simplify ∛(3∛27).

Solution:

∛(3∛27) = ∛(3∛(3^3)) = ∛(3 * 3) = ∛9 = 2

Requested by: Shahbaz

Simplify ∛5 * ∛4.

Solution:

∛5 * ∛4 = ∛(5 * 4) = ∛20

Requested by: Shahbaz

Simplify ∛(-3) * ∛(-27).

Solution:

∛(-3) * ∛(-27) = ∛(-3 * -27) = ∛81 = 3

Requested by: Shahbaz

Simplify ∛(2∛(3)) * ∛(3∛(2)).

Solution:

∛(2∛(3)) * ∛(3∛(2)) = ∛(2 * 3) * ∛(3 * 2) = ∛6 * ∛6 = ∛(6 * 6) = ∛36 = 6

Requested by: Shahbaz

Simplify ∛(∛(8) * ∛(27)).

Solution:

∛(∛8 * ∛27) = ∛(2 * 3) = ∛(6) = 6

Requested by: Shahbaz

Simplify (∛5 + ∛3) * (∛5 – ∛3).

Solution:

(∛5 + ∛3) * (∛5 – ∛3) = (∛5)^2 – (∛3)^2 = 5 – 3 = 2

Requested by: Shahbaz

Simplify ∛8 / ∛2.

Solution:

∛8 / ∛2 = ∛(8 / 2) = ∛4 = 2

Requested by: Shahbaz

Simplify ∛(27) / ∛(3).

Solution:

∛27 / ∛3 = (∛(3^3)) / (∛3) = (∛3)^3 / (∛3) = 3

Requested by: Shahbaz

Simplify ∛8 / ∛2.

Solution:

∛8 / ∛2 = ∛(8 / 2) = ∛4 = 2

Requested by: Shahbaz

Simplify ∛27 / ∛9.

Solution:

∛27 / ∛9 = ∛(27 / 9) = ∛3 = 1.442

Requested by: Shahbaz

Simplify (∛125 – ∛25) / ∛5.

Solution:

(∛125 – ∛25) / ∛5 = (∛(5^3) – ∛(5^2)) / ∛5 = (∛5 – ∛5) / ∛5 = 0

Requested by: Shahbaz

Simplify ∛(∛64 / ∛16).

Solution:

∛(∛64 / ∛16) = ∛(∛(4^3) / ∛(4^2)) = ∛(∛4 / ∛4) = ∛(1) = 1

Requested by: Shahbaz

Simplify ∛(∛216 / ∛8).

Solution:

∛(∛216 / ∛8) = ∛(∛(6^3) / ∛(2^3)) = ∛(∛6 / ∛2) = ∛(∛3) = 1.442

Requested by: Shahbaz