Question

Simplify : ( 3√5─ 5√2) (3√5+ 5√2)

Answer 1

To calculate,

$(3 \sqrt{5} - 5 \sqrt{2} )(3 \sqrt{5} + 5 \sqrt{2} ) = ?$

Calculations,

$as \: we \: know \: that \\ (x + y)(x - y) = {x}^{2} - {y}^{2} \\ therefore \\ (3 \sqrt{5} - 5 \sqrt{2} )(3 \sqrt{5} + 5 \sqrt{2} ) \\ = {(3 \sqrt{5}) }^{2} - {(5 \sqrt{2} )}^{2} \\ = 9 \times 5 - 25 \times 2 \\ = 45 - 50 \\ = - 5$

Final answer,

$(3 \sqrt{5} - 5 \sqrt{2} )(3 \sqrt{5} + 5 \sqrt{2} ) = - 5$

hope it helps to you☺️

Answer 2

Answer :–

After simplify the given equation we get –5.

Given :–

• An equation: (3√5 – 5√2)(3√5 + 5√2)

Required :–

• Simplify the given equation.

Solution :–

We know that,

[(a–b)(a+b) = a² – b²]

Now, apply the identity in the given equation.

The given equation is,

⟹ (3√5 – 5√2)(3√5 + 5√2)

After applying the identity, we obtain

⟹ (3√5)² – (5√2)²

So,

⟹ (9 × 5) – (25 × 2)

Now, multiply the both bracket numbers [(9×5) and (25×2)], we obtain

⟹ 45 – 50

Now, subtract the both numbers (45 and 50), we obtain

⟹ –5

Hence,

–5 is the answer of this equation.