Respuesta :
we are given
[tex]\sqrt{30} *\sqrt{610}[/tex]
we can radical formula
[tex]\sqrt{a} *\sqrt{b}=\sqrt{a*b}[/tex]
we get
[tex]\sqrt{30} *\sqrt{610}=\sqrt{30*610}[/tex]
[tex]\sqrt{30} *\sqrt{610}=\sqrt{3*61*100}[/tex]
we can also write as
[tex]\sqrt{30} *\sqrt{610}=\sqrt{100}*\sqrt{3*61}[/tex]
[tex]\sqrt{30} *\sqrt{610}=10\sqrt{183}[/tex]............Answer
The product of [tex]\sqrt {30}[/tex] and [tex]\sqrt {610}[/tex] is [tex]\boxed{\sqrt {18300} }[/tex] or [tex]\boxed{10\sqrt {183} }.[/tex]
Further Explanation:
The product of two square root numbers can be expressed as follows,
[tex]\boxed{\sqrtx \times \sqrt y = \sqrt {x \times y} }[/tex]
Given:
The expression is [tex]A = \sqrt {30} \times \sqrt {610}.[/tex]
Explanation:
A expression than contain the [tex]{n^{th}}[/tex] root is known as the radical equation.
The symbol of the radical is [tex]\sqrt[n]{x}.[/tex]
The radic and is a number that is in the radical.
The given expression is [tex]A = \sqrt {30} \times \sqrt {610}.[/tex]
Solve the expression to obtain the product of the numbers.
[tex]\begin{aligned}A&= \sqrt {30}\times \sqrt {610}\\&= \sqrt {30 \times 610}\\&= \sqrt {18300}\\&= \sqrt {183 \times 100}\\&= 10\sqrt {183}\\\end{aligned}[/tex]
The product of [tex]\sqrt {30}[/tex] and [tex]\sqrt {610}[/tex] is [tex]\boxed{\sqrt {18300} }[/tex] or [tex]\boxed{10\sqrt {183} }.[/tex]
Learn more:
- Learn more about inverse of the functionhttps://brainly.com/question/1632445.
- Learn more about equation of circle brainly.com/question/1506955.
- Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Exponents and Powers
Keywords: standard dorm, product, square root 30, square rot 610, express, radical expression, expression, factors, simplest form, square root, radicand, cube root, constant term.
